11 research outputs found
Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
No full textAbstract
Let G be a simply connected simple linear algebraic group of exceptional Lie type over an algebraically closed field F
of characteristic
p
≥
0
{p\geq 0}
, and let
u
∈
G
{u\in G}
be a nonidentity unipotent element. Let ϕ be a non-trivial irreducible
representation of G.
Then the Jordan normal form of
ϕ
(
u
)
{\phi(u)}
contains at most one non-trivial block if and only if G is of type
G
2
{G_{2}}
, u
is a regular unipotent element and
dim
ϕ
≤
7
{\dim\phi\leq 7}
.
Note that the irreducible representations of the simple classical algebraic groups in which a non-trivial unipotent element is represented by a matrix whose Jordan form has a single non-trivial block were determined by I. D. Suprunenko [21].</jats:p
Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
No full textLet G be a simply connected simple linear algebraic group of exceptional Lie type over an algebraically closed field F of characteristic p >= 0, and let u is an element of G be a non-identity unipotent element. Let phi be a non-trivial irreducible representation of G. Then the Jordan normal form of phi(u) contains at most one non-trivial block if and only if G is of type G(2), u is a regular unipotent element and dim phi <= 7. Note that the irreducible representations of the simple classical algebraic groups in which a non-trivial unipotent element is represented by a matrix whose Jordan form has a single non-trivial block were determined by I. D. Suprunenko [21].GR-TE
Mountain national parks and ecological tourism
No full textEco-tourism is actively developed in high lands up to nival-glacial zone. Recreational resources are the object of eco-tourism, and, first of all, in national parks (zones: intensive and extensive recreation, buffer and difficult-to-access one), but every park has a specific profile, its own “ecorecreational face” and eco-touristic component. They can be used as a characteristic of park classification, as well as a terrain morphostructure. In general, the effective development in mountains requires to take into account eco-touristical features
Lymphoma in Cats: Contemporary perspectives
No full textProšlo desetljeće svjedočilo je aktivnom istraživanju na polju veterinarske onkologije mačaka, usredotočenm na duboko razumijevanje čimbenika rizika, ključnih patogenih mehanizama, prognostičkih markera, usavršavanje kirurških tehnika, istraživanje novih terapijskih ciljeva i prevencije neoplazija. Unatoč određenim napretcima, pitanje potvrđivanja i predviđanja biološkog ponašanja pojedinačnih tumora ostaje neriješeno. Među njim je i limfom, koji je često kroničnog tijeka (bez patognomskih znakova) i pokazuje znatnu varijabilnost uključenosti tkiva, što objašnjava značajna kolebanja u njegovoj učestalosti registracije – koja variraju od 3,6 do 22 %. Distribucija anatomskih oblika isto tako značajno varira, s tim da su alimentarni (do 40 %) i multicentrični (do 30 %) limfomi najčešće dijagnosticirani. Vjerojatnost potvrđivanja brojnih patohistoloških vrsta (T-stanični limfom, B-stanični limfom) i njihovih podtipova povezana je s anatomskim oblikom limfoma. Zabrinjavajući trend je dinamičko povećanje registracije novih i rijetkih oblika limfoma (primarni limfom nadbubrežnih žlijezda, perikardija, očne jabučice, itd.), ukazujući na varijabilnost patogenetskih mehanizama, vjerojatno zbog povećane genomske nestabilnosti. Uz dobro utvrđene čimbenike rizika za limfom u mačaka, nepoželjni antropogeni učinak postao je relevantan. Početak limfoma u mačaka zbog duhanskog dima je dokazan. Raspravlja se o značenju predispozicije dobi, pasmine i spola kao čimbenika rizika za limfom i uvelike ovisi o regiji. Izostanak cijepljenja protiv virusnih bolesti u mačaka povećava rizik od limfoma. Najznačajniji čimbenici rizika za razvoj limfoma u mačaka su leukoza i agensi imunodeficijencije, premda se njihova etiološka uloga značajno smanjila posljednjih godina. Trenutna istraživanja pokazuju aktivnu uključenost kromosomskih aberacija i kromosomske upale u razvoju limfoma. Transplantacija bubrega i imunosupresivna terapija gotovo sedam puta povećavaju vjerojatnost razvoja limfoma u mačaka. Čimbenik rizika koji zahtjeva dodatno istraživanje jest genetičko nasljeđivanje, trenutačno prepoznato u sijamskih, britanskih i orijentalnih kratkodlakih mačaka.The past decade has witnessed active research in the field of feline veterinary oncology, focused on a deeper understanding of risk factors, key pathogenic mechanisms, prognostic markers, refinement of surgical techniques, exploration of new therapeutic targets, and neoplasia prevention. Despite certain advancements, the issue of verifying and predicting the biological behaviour of individual tumours remains unresolved. Among them is lymphoma, which often presents a chronic course (without athognomonic signs) and demonstrates significant variability in tissue involvement, explaining the considerable fluctuations in its recorded
frequency, ranging from 3.6 to 22%. The range of anatomical forms also varies significantly, with alimentary (up to 40%) and multicentric (up to 30%) lymphomas most commonly diagnosed. The probability of verifying numerous histopathological types (T-cell lymphoma, B-cell lymphoma) and their subtypes correlates with the anatomical form of lymphoma. A concerning trend is the dynamic increase in the registration of new and rare forms of lymphoma (primary lymphoma of the adrenal glands, pericardium, ocular globe, etc.), indicating the variability of pathogenetic mechanisms, likely due to enhanced genomic instability. In addition to well-established risk factors for lymphoma in cats, the adverse anthropogenic impact has become relevant. The initiation of lymphoma in cats due to tobacco smoke has been proven. The significance of age, breed, and gender predisposition as risk factors for lymphoma has been debated and largely depends on the region. The absence of vaccination against viral
diseases in cats increases the risk of lymphoma. The most significant risk factors for the development of lymphoma in cats are leukosis and immunodeficiency agents, although their etiological role has significantly decreased in recent years. Current research demonstrates the active involvement of chromosomal aberrations and chronic inflammation in lymphoma development. Kidney transplantation and immunosuppressive therapy increase the likelihood of lymphoma development in cats almost sevenfold.
A risk factor requiring further study is genetic heredity, currently identified in Siamese, British, and Oriental shorthair cats
Estimation of the Efficiency of Preventive Activities of Prosecution as an Institution for Prevention and Countering Crimes inthe Modern Period.
No full textВ статі на підставі вивчення змісту нормативно-правових актів, що регулюють діяльність прокуратури
України, а також аналізу результатів роботи по запобіганню злочинам в органах та установах виконання
покарань, визначені проблемні питання та виведені науково обґрунтовані шляхи їх вирішення по суті.
Сформульвано пропозицію щодо доповнення ст. 2 Закону України «Про прокуратуру» такою функцією
прокуратури, як нагляд за дотриманням кримінологічного законодавства, спрямованого на усунення причин і
умов, що сприяли вчиненню злочинів та інших правопорушень, виявлених у результаті реалізації інших
функцій прокуратури. The article identifies problems
and derives scientifically substantiated ways of solving them per se on the basis of the thorough study of the
content of regulations governing the activities of the Prosecutor's Office in Ukraine, and also the analysis of
the results of work aimed at preventing crime in the judicial bodies and penal institutions. The author states
that the purpose of coordination of the activities performed by the law enforcement agencies in the fight
against criminality is to improve their preventive activity by combining efforts. The main tasks concerning
this activity are: 1) creation of a united front tocombat crime; 2) revitalization of the activities of the entities
responsible for preventive work; 3) saving of costs, capabilities and resources provided to prevent crime; 4)
ensuring the implementation of government programs in the fight against crime; 5) developing strategy and
recommendations for crime prevention tactics; 6) study and generalization of practice of the coordinating
activities; 7) elimination of duplication and concurrency in the activity of crime prevention entities. The
author suggests to supplement Article 2 of the Law «On Prosecution» of Ukraine with such function of
prosecutor's office as supervision over the compliance with criminological legislation, aimed at eliminating
the causes and conditions that contributed to the commission of crime and other offenses, discovered in the
results of realization of other functions of the prosecution
The “People from Cherkasy”: The “Horde’s Cossacks” and “Serving Tatars” of the Forest-Steppe Borderlands (late 14th–15th centuries)
No full textResearch objectives: To consider the problem of localization and the time of the appearance of the military community called the “people from Cherkasy” and other ethnic consortiums of the “Horde’s Cossacks” and “serving Tatars” in Lithuania and the Grand Duchy of Moscow’s border areas.
Research materials: Medieval Russian chronicles – Nikonovskaya, Sofiyskaya Second, Ermolinskaya, Simeonovskaya, Ustyuzhskaya, the abbreviated svod of the late 15th century, as well as the list of noble families of 1475–1605, the Rodoslovets of Glinsky princes from the Rumyantsev collection, and the Story of the Kazan Tsardom (or the Kazan Chronicle). The author also used the archaeological research results of Ukrainian archaeologists О.B. Suprunenko, V.V. Priymak and K.M. Mironenko in the territories of the forest-steppe zone on the Dnieper’s left bank.
Results and novelty of the research: The author offers the conclusion that the “people from Cherkasy” were a Cossack military community, the so-called “Horde’s Cossacks”, that emerged in the 1430s on the lands of the middle Dnieper, with their center in Cherkasy and Kanev. Already by the late 14th – early 15th century, these lands were the official fiefs of Horde rulers (Toqtamish, Ulug-Muhammad) who were forced to withdraw from the steppe to the neighboring territory of the Grand Duchy of Lithuania for military-political reasons.
In the final part of the work, the author characterizes the feudal possessions of the “serving Tatars” and Cossack communities as polyethnic formations emerged in the zone of intensive ethno-cultural contacts in the forest-steppe borderlands of Russia and the Horde
Минимальные полиномы унипотентных элементов непростого порядка в неприводимых представлениях исключительных алгебраических групп в некоторых хороших характеристиках
No full textCommunicated by Academician Vyacheslav I. YanchevskiiIn a number of cases the minimal polynomials of the images of unipotent elements of non-prime order in irreducible representations of the exceptional algebraic groups in good characteristics are found. It is proved that if p > 5 for a group of type E8 and p > 3 for other exceptional algebraic groups, then for irreducible representations of these groups in characteristic p with large highest weights with respect to p, the degree of the minimal polynomial of the image of a unipotent element is equal to the order of this element.Представлено академиком В. И. ЯнчевскимВ ряде случаев найдены минимальные многочлены образов унипотентных элементов непростого порядка в неприводимых представлениях исключительных алгебраических групп в хороших характеристиках. Установлено, что если p > 5 для группы типа Е8 и p > 3 для других исключительных алгебраических групп, то для неприводимых представлений этих групп в характеристике p с большими относительно характеристики старшими весами степень минимального многочлена образа унипотентного элемента равна порядку этого элемента
Block diagonalization
No full textsummary:We study block diagonalization of matrices induced by resolutions of the unit matrix into the sum of idempotent matrices. We show that the block diagonal matrices have disjoint spectra if and only if each idempotent matrix in the inducing resolution double commutes with the given matrix. Applications include a new characterization of an eigenprojection and of the Drazin inverse of a given matrix
Консервативное ведение пациентов с закрытой травмой паренхиматозных органов брюшной полости и забрюшинного пространства, с забрюшинными кровоизлияниями — показания, методика и целесообразность
No full textIntroduction. The article is devoted to an actual problem — blunt trauma of the abdomen and organs of the retroperitoneal space.Aim of study. Specify the indications for nonoperative management of patients with blunt trauma of the solid organs of the abdominal cavity, retroperitoneal space, with retroperitoneal hemorrhage and measures for this treatment option.Material and methods. The analysis of literature sources of Russian and foreign authors is carried out and the indications, methods and necessity of nonoperative management of patients with blunt trauma of solid organs of the abdominal cavity and retroperitoneal space, retroperitoneal hemorrhages are substantiated.Conclusion. Nonoperative management of patients with blunt trauma of solid organs of the abdominal cavity and retroperitoneal space, retroperitoneal hemorrhages is possible only in large specialized centers with a wide range of diagnostic and therapeutic capabilities.Введение. Статья посвящена актуальной проблеме — закрытой травме живота и органов забрюшинного пространства.Цель исследования. Конкретизация показаний к консервативному ведению пациентов с закрытой травмой паренхиматозных органов брюшной полости, забрюшинного пространства, с забрюшинными кровоизлияниями и мероприятий при данном варианте лечения.Материал и методы. Проведен анализ литературных источников российских и иностранных авторов. Обосновываются показания, методы и целесообразность консервативного ведения пациентов с закрытой травмой паренхиматозных органов брюшной полости и забрюшинного пространства, забрюшинными кровоизлияниями.Заключение. Консервативное ведение пациентов с закрытой травмой паренхиматозных органов брюшной полости и забрюшинного пространства, забрюшинными кровоизлияниями возможно только в крупных специализированных центрах, обладающих широким спектром диагностических и лечебных возможностей.Заключение. Использование эндоваскулярных вмешательств при повреждениях селезенки, а также поэтапное лечение этих повреждений в условиях тяжелой политравмы способствуют снижению летальности
