1,356,289 research outputs found

    Fomenko, A.

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    Nueva cronología global de Anatoly Fomenko: ¿En que siglo vivió Jesús?, ¿Cuando fue la guerra de Troya?, ¿Como fue el famoso caballo de Troya?, ¿En que año fue fundada la ciudad de Roma?

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    El objetivo de este articulo es presentarle al amplio publico los trabajos y las nuevas hipótesis en el campo de la cronología del matemático ruso Anatoly Fomenko, quien después de estudiar con métodos de la estadística matemática la historia escrita de la mayoría de los países del mundo, llego a la conclusión de que la historia de muchos pueblos esta alargada de manera artificial. Fomenko critica la cronología vigente, la cual fue creada en los siglos XV-XVII y propone una nueva cronología global en la cual la historia de todas las civilizaciones (incluidas las mas antiguas, como Egipto, Grecia, Roma, etc.) abarca apenas los últimos 900-1000años. Se presentan, de manera breve y descriptiva, los nuevos métodos de la estadística matemática, desarrollados por A. Fomenko y su grupo de investigación, los cuales permiten comparar textos narrativos y detectar bloques semejantes que describen la misma historia./Abstract.The purpose of this paper is to present to a large audience the investigations and the new hypothesis in the area of chronology, bye the Russian mathematician Anatoly Fomenko who after studying the written history of most countries using methods of mathematical statistics, arrived to the conclusion that the history of many nations was artificially lengthened. Fomenko criticizes the current chronology created in the XV-XVII centuries and proposes a new global chronology in which the historical events of all civilizations (including the most ancient like Egyptian, Greek and Roma) actually occurred during the last millennium. We briefly present some new methods of mathematical statistics developed by A. Fomenko and his research group. These methods allow to compare the narrative texts and to discover similarities in certain passage describing the same history

    Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras

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    We use affine W-algebras to quantize Mishchenko-Fomenko subalgebras for centralizers of nilpotent elements in finite dimensional simple Lie algebras under certain assumptions that are satisfied for all cases in type A and all minimal nilpotent cases outside type E8

    Bulgarian theme in local history research of V.G. Fomenko

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    У статті проаналізовано праці запорізького краєзнавця В.Г. Фоменка з історії болгарських поселень Північного Приазов'я. Пропонується висновок, що В.Г. Фоменко зробив вагомий внесок в актуалізацію історичної болгаристики на Запоріжжі у післявоєнний період.В статье проанализированы работы запорожского краеведа В.Г. Фоменко по истории болгарских поселений Северного Приазовья. Предлагается вывод, что В.Г. Фоменко сделал весомый вклад в актуализацию исторической болгаристики на Запорожье в послевоенный период.In the article is an analysis the scientific works of the Zaporizhzha regional specialist V.G. Fomenko on the history of Bulgarian settlements in the Northern Azov. Invited the conclusion that V.G. Fomenko has made a significant contribution to the actualization of historical Bulgaristics at Zaporizhzha in the period after World War II

    Mishchenko-Fomenko Subalgebras in S(gl_n) and regular sequences

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    Seja S(gl_n) a álgebra simétrica da álgebra de Lie das matrizes de tamanho nxn sobre o corpo C dos números complexos. Para \\xi em gl_n*=gl_n, seja F_{\\xi}(gl_n) a asubálgebra de Mishchenko-Fomenko de S(gl_n) construída pelo método de deslocamento de argumento associada ao parâmetro \\xi. É conhecido que se \\xi é um elemento semisimples regular ou nilpotente regular então a subálgebra F_{\\xi}(gl_n) é gerada por uma sequência regular em S(gl_n). Nesta tese é provado que em gl_3 o resultado estende para todo \\xi em gl_3, isto é, as subálgebras de Mishchenco-Fomenko F_{\\xi}(gl_3) são geradas por uma sequência regular em S(gl_3), uma consequência deste fato é que os módulo irredutíveis sobre certas subálgebras comutativas da álgebra envolvente universal U(gl_3) podem ser levantados a módulos irredutiveis sobre U(gl_3). Além disso, é provado que em gl_4 esse resultado é válido para todo elemento nilpotente \\xi em gl_4. O caso geral, que é determinar quando as subálgebras de Mishchenko-Fomenko F_{\\xi}(gl_n) , com \\xi em gl_n, são geradas por uma sequência regular em S(gl_n), é ainda um problema aberto.Let S(gl_n) be the symmetric algebra of the Lie algebra of the matrices of size nxn over the field C of complex numbers. For \\xi in gl_n*=gl_n, let F_{\\xi}(gl_n) be the Mishchenko-Fomenko subalgebra of S(gl_n) constructed by the argument shift method associated with the parameter \\xi. It is known that if \\xi is a semisimple regular element or nilpotent regular element then the subalgebra F_(g_ln) is generated by a regular sequence in S(gl_n). In this thesis we prove that in gl_3 the result is extended to all \\xi in gl_3, this is, the Mishchenco-Fomenko subalgebras F_{\\xi}(gl3) are generated by a regular sequence in S(gl_3), A consequence of this fact is that the irreducible modules over certain commutative subalgebras of the universal enveloping algebra U(gl_3) can it be lifted to irreducible modules over U(gl_3). Furthermore, is proved that this result is true for all elements nilpotente \\xi in gl_4. The general case, which is determined when the Mishchenko-Fomenko subalgebras F_{\\xi}(gl_n), with \\xi in gl_n, are generated by a regular sequence in S(gl_n), it is still an open problem

    Mishchenko-Fomenko Subalgebras in S(gl_n) and regular sequences

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    Seja S(gl_n) a álgebra simétrica da álgebra de Lie das matrizes de tamanho nxn sobre o corpo C dos números complexos. Para \\xi em gl_n*=gl_n, seja F_{\\xi}(gl_n) a asubálgebra de Mishchenko-Fomenko de S(gl_n) construída pelo método de deslocamento de argumento associada ao parâmetro \\xi. É conhecido que se \\xi é um elemento semisimples regular ou nilpotente regular então a subálgebra F_{\\xi}(gl_n) é gerada por uma sequência regular em S(gl_n). Nesta tese é provado que em gl_3 o resultado estende para todo \\xi em gl_3, isto é, as subálgebras de Mishchenco-Fomenko F_{\\xi}(gl_3) são geradas por uma sequência regular em S(gl_3), uma consequência deste fato é que os módulo irredutíveis sobre certas subálgebras comutativas da álgebra envolvente universal U(gl_3) podem ser levantados a módulos irredutiveis sobre U(gl_3). Além disso, é provado que em gl_4 esse resultado é válido para todo elemento nilpotente \\xi em gl_4. O caso geral, que é determinar quando as subálgebras de Mishchenko-Fomenko F_{\\xi}(gl_n) , com \\xi em gl_n, são geradas por uma sequência regular em S(gl_n), é ainda um problema aberto.Let S(gl_n) be the symmetric algebra of the Lie algebra of the matrices of size nxn over the field C of complex numbers. For \\xi in gl_n*=gl_n, let F_{\\xi}(gl_n) be the Mishchenko-Fomenko subalgebra of S(gl_n) constructed by the argument shift method associated with the parameter \\xi. It is known that if \\xi is a semisimple regular element or nilpotent regular element then the subalgebra F_(g_ln) is generated by a regular sequence in S(gl_n). In this thesis we prove that in gl_3 the result is extended to all \\xi in gl_3, this is, the Mishchenco-Fomenko subalgebras F_{\\xi}(gl3) are generated by a regular sequence in S(gl_3), A consequence of this fact is that the irreducible modules over certain commutative subalgebras of the universal enveloping algebra U(gl_3) can it be lifted to irreducible modules over U(gl_3). Furthermore, is proved that this result is true for all elements nilpotente \\xi in gl_4. The general case, which is determined when the Mishchenko-Fomenko subalgebras F_{\\xi}(gl_n), with \\xi in gl_n, are generated by a regular sequence in S(gl_n), it is still an open problem

    Lomonosov's bastards: Anatolii Fomenko, pseudo-history and Russia's search for a post-communist identity

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    Anatolii Fomenko is a distinguished Russian mathematician turned popular history writer. He is the founder of New Chronology, part of the explosion of pseudo-history that has emerged in Russia since the collapse of the Soviet Union. Among his more startling claims are that the Old Testament was written after the New Testament, that Russia is older than Greece and Rome and that the medieval Mongol Empire was in fact a Slav-Turk world empire, a Russian Horde, to which Western and Eastern powers paid tribute. Fomenko takes inspiration from Mikhail Lomonosov, Russia�s most celebrated eighteenth century scientist and self-taught patriotic historian. Lomonosov was a layman in matters of history, who was given to patriotic excess but whose account of the past fell within the bounds of what is usually considered to be history. The same is not true of Fomenko whose account of the past is as fantastic as it is popular. The question of this thesis is why such accounts of the past are written and, more importantly, read in post-Communist Russia. I conclude that Fomenkos version of the past is popular because he finds in history a simple and usable answer to the question of who the Russians are. Fomenko taps into existing Russian notions of identity, specifically the widespread belief in the positive qualities of empire and the special mission of Russia. He has drawn upon previous attempts to establish a Russian identity, ranging from Slavophilism through Stalinism to Eurasianism. Fomenkos account of the past speaks to the Russian present, which, in the absence of Ukraine and Belarus, is much more firmly placed at the centre of the Eurasian land-mass than it was under the Tsars or Communists. While fantastic, Fomenkos pseudo-history strikes many Russian readers as no less legitimate than the lies and distortions peddled not just by Communist propagandists but also by tsarist historians and church chroniclers

    Modern Geometry: methods and applications. vol. I-vol.II-vol.III

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    Part. 1. The geometry of surfaces, transformation groups, and fields -- Part. 2. The geometry and topology of manifolds -- Part. 3. Introduction to homology theory

    Complete commutative subalgebras in polynomial poisson algebras: A proof of the Mischenko-Fomenko conjecture

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    The Mishchenko-Fomenko conjecture says that for each real or complex finite-dimensional Lie algebra g there exists a complete set of commuting polynomials on its dual space g*. In terms of the theory of integrable Hamiltonian systems this means that the dual space g* endowed with the standard Lie-Poisson bracket admits polynomial integrable Hamiltonian systems. This conjecture was proved by S. T. Sadetov in 2003. Following his idea, we give an explicit geometric construction for commuting polynomials on g* and consider some examples. (This text is a revised version of my paper published in Russian: A. V. Bolsinov, Complete commutative families of polynomials in Poisson–Lie algebras: A proof of the Mischenko–Fomenko conjecture in book: Tensor and Vector Analysis, Vol. 26, Moscow State University, 2005, 87–109.

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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