881 research outputs found
Branching Functions ofA(1)n−1and Jantzen–Seitz Problem for Ariki–Koike Algebras
No full textAbstractWe study the restrictions of simple modules of Ariki–Koike algebras Hm(v) with set of parametersv=(ζ; ζv0, …, ζvl−1), whereζis annth root of unity, to their subalgebras Hm−j(v). Using a theorem of Ariki and the crystal basis theory of Kashiwara, we relate this problem to the calculation of tensor product multiplicities of highest weight irreductible representations of the affine Lie algebraA(1)n−1. These multiplicities have a combinatorial description in terms of higher level paths or highest-lift multipartitions. This enables us to solve the Jantzen–Seitz problem for Ariki–Koike algebras, that is, to determine which irreducible representations of Hm(v) restrict to irreducible representations of Hm−1(v). From a combinatorial point of view, this problem is identical to that of computing the tensor product of anA(1)n−1-module of levelland one of level 1. We also consider natural generalisations of the Jantzen–Seitz problem corresponding to the product of a levellmodule by a levell′>1 module, and from the commutativity of tensor products, we deduce a remarkable symmetry between the generalised Jantzen–Seitz conditions and the sets of parameters of the Ariki–Koike algebras
Branching functions of A (1) n-1 and Jantzen-Seitz problem for Ariki-Koike algebras
No full textWe study the restrictions of simple modules of Ariki-Koike algebras Hm (v) with set of parameters v = (i; i v0 ; : : : ; i v l\Gamma1 ), where i is an nth root of unity, to their subalgebras Hm\Gammaj (v). Using a theorem of Ariki and the crystal basis theory of Kashiwara, we relate this problem to the calculation of tensor product multiplicities of highest weight irreducible representations of the affine Lie algebra A (1) n\Gamma1 . These multiplicities have a combinatorial description in terms of higher level paths or highest-lift multipartitions. This enables us to solve the Jantzen-Seitz problem for Ariki-Koike algebras, that is, to determine which irreducible representations of Hm (v) restrict to irreducible representations of Hm\Gamma1 (v). From a combinatorial point of view, this problem is identical to that of computing the tensor product of an A (1) n\Gamma1 -module of level l and one of level 1. We also consider natural generalisations of the Jantzen-Seitz problem co..
Ramanujan-Shen's differential equations for Eisenstein series of level 2
No full textRamanujan (1916) and Shen (1999) discovered differential equations for
classical Eisenstein series. Motivated by them, we derive new differential
equations for Eisenstein series of level 2 from the second kind of Jacobi theta
function. This gives a new characterization of a system of differential
equations by Ablowitz-Chakravarty-Hahn (2006), Hahn (2008), Kaneko-Koike
(2003), Maier (2011) and Toh (2011). As application, we show some arithmetic
results on Ramanujan's tau function.Comment: 21 page
Design of soft x-ray varied-line-spacing (VLS) high-dispersion laminar-type grating coated with super-mirror-type (SMT) multilayer for flat-field spectrograph in a region of 2?4 keV
No full textA soft x-ray varied-line-spacing (VLS) laminar-type spherical grating with super-mirror-type (SMT) multilayer was designed for a soft x-ray high resolution flat-field spectrographs in a region of 2?4 keV. Effective groove density of the designed VLS grating is 3,200 lines/mm, and local groove density varies from 2,700 to 3,866 lines/mm. Geometrical imaging property was evaluated by numerical calculations. The resolving power estimated by means of ray tracing was up to ca. 103. For the evaluation of diffraction efficiency, the SMT multilayer structure designed for 3,200 lines/mm in our previous work, M. Koike et al., Rev. Sci. Instrum. 94, 045109 (2023), was employed, and the numerical calculation was performed considering the local groove density of VLS grooves, and local incidence angle being affected by curvature of spherical surface and geometrical relation between the source and incidence point on the grating. The results showed that the SMT coated grating exhibited about one order of magnitude higher diffraction efficiency compared with an Au-coated grating.journal articl
Correction to: Comparison of glycyrrhizin content in 25 major kinds of Kampo extracts containing Glycyrrhizae Radix used clinically in Japan
No full textThe article Comparison of glycyrrhizin content in 25 major kinds of Kampo extracts containing Glycyrrhizae Radix used clinically in Japan, written by Mitsuhiko Nose, Momoka Tada, Rika Kojima, Kumiko Nagata, Shinsuke Hisaka, Sayaka Masada, Masato Homma and Takashi Hakamatsuka, was originally published Online First without open access. After publication in volume 71, issue 4, page 711–722 the author decided to opt for Open Choice and to make the article an open access publication. Therefore, the copyright of the article has been changed to © The Author(s) 2018 and the article is forthwith distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</jats:p
“Masato de Yuca” and “Chicha de Siete Semillas” Two Traditional Vegetable Fermented Beverages from Peru as Source for the Isolation of Potential Probiotic Bacteria
No full textOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This research was funded by the Ibero-American Programme on Science and Technology for Development (CYTED), grant number 917PTE0537. The Spanish team was funded by the “Agencia Estatal de Investigación” and the “Fondo Europeo de Desarrollo Regional” (AEI/FEDER, UE), grant number PCIN2017-075″. The Peruvian team was funded by the National Council of Science and Technology and Innovation of Peru through its execution unit National Fund for Scientific, Technological and Technological Innovation (CONCYTEC/FONDECYT), grant No. 001–2017.In this work, two Peruvian beverages “Masato de Yuca,” typical of the Amazonian communities made from cassava (Manihot esculenta), and “Chicha de Siete Semillas,” made from different cereal, pseudo-cereal, and legume flours, were explored for the isolation of lactic acid bacteria after obtaining the permission of local authorities following Nagoya protocol. From an initial number of 33 isolates, 16 strains with different RAPD- and REP-PCR genetic profiles were obtained. In Chicha, all strains were Lactiplantibacillus plantarum (formerly Lactobacillus plantarum), whereas in Masato, in addition to this species, Limosilactobacillus fermentum (formerly Lactobacillus fermentum), Pediococcus acidilactici, and Weissella confusa were also identified. Correlation analysis carried out with their carbohydrate fermentation patterns and enzymatic profiles allowed a clustering of the lactobacilli separated from the other genera. Finally, the 16 strains were submitted to a static in vitro digestion (INFOGEST model) that simulated the gastrointestinal transit. Besides, their ability to adhere to the human epithelial intestinal cell line HT29 was also determined. Following both procedures, the best probiotic candidate was Lac. plantarum Ch13, a robust strain able to better face the challenging conditions of the gastrointestinal tract and showing higher adhesion ability to the intestinal epithelium in comparison with the commercial probiotic strain 299v. In order to characterize its benefit for human health, this Ch13 strain will be deeply studied in further works. © 2021, The Author(s).Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - Concyte
Financing small and medium sized enterprises for sustainable development : a view from the Asia-Pacific region
No full textMacroeconomic Policy and Development Division, working paper series.This discussion paper was prepared for ESCAP by Nick Freeman, Independent Economic Development Consultant.
The author gratefully acknowledges the contributions made by Masato Abe, Sailendra Narain, Michael Troilo and J. S. Juneja
908 Design of robotics behavior that imitates animal consciousness : The facial expressions by emotion predict of robot
No full textMinimization problem on the Hardy-Sobolev inequality and on the Sobolev embedding for Lebesgue space with variable exponent
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