Results 21 to 30 of about 1,304,850 (179)

Primitive ideals, twisting functors and star actions for classical Lie superalgebras [PDF]

, 2016
We study three related topics in representation theory of classical Lie superalgebras. The first one is classification of primitive ideals, i.e. annihilator ideals of simple modules, and inclusions between them.
Coulembier, Kevin, Mazorchuk, Volodymyr
core   +1 more source

ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS

Acta Polytechnica, 2016
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková, Jiří Hrivnák, Lenka Motlochová   +2 more
doaj   +1 more source

Hurwitz components of groups with socle PSL(3, q)

Extracta Mathematicae, 2021
For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we give a complete list of some almost simple groups of Lie rank two.
H.M. Mohammed Salih
doaj  

On the Links of Simple Singularities, Simple Elliptic Singularities and Cusp Singularities

Demonstratio Mathematica, 2015
This is a survey article about the study of the links of some complex hypersurface singularities in ℂ3 . We study the links of simple singularities, simple elliptic singularities and cusp singularities, and the canonical contact structures on them. It is
Kasuya Naohik
doaj   +1 more source

A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras [PDF]

, 2017
Let $G$ be a simple algebraic group over an algebraically closed field of characteristic $p>0$ and suppose that $p$ is a very good prime for $G$. We prove that any maximal Lie subalgebra $M$ of $\mathfrak{g} = {\rm Lie}(G)$ with ${\rm rad}(M) \ne 0$ has ...
Benkart, Benkart, Block, Block, Borel, Borel, Bourbaki, Bourbaki, Carlson, Carter, Castillo-Ramirez, Clarke, de Graaf, Dynkin, Feldvoss, Garibaldi, Herpel, Herpel, Holmes, Holmes, Humphreys, Kuznetsov, Lawther, Lawther, Levy, Mal'cev, McNinch, Morozov, Panyushev, Pevtsova, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Purslow, Seligman, Serre, Skryabin, Skryabin, Springer, Steinberg, Stewart, Strade, Strade, University of Georgia VIGRE Algebra Group, Weisfeiler, Weisfeiler   +52 more
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Simple 𝑝-adic Lie groups with abelian Lie algebras [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal)
Abstract For each prime 𝑝 and each positive integer 𝑑, we construct the first examples of second countable, topologically simple 𝑝-adic Lie groups of dimension 𝑑 whose Lie algebras are abelian. This answers several questions of Glöckner and Caprace–Monod.
Caprace, P.-E., Minasyan, A., Osin, D.
openaire   +3 more sources

The index of compact simple Lie groups

, 2017
Fil: Olmos, Carlos Enrique. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba.
Berndt, Jurgen, Olmos, Carlos
openaire   +4 more sources

Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices

, 2006
This paper is mainly a review of the multi--Hamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new results.
Collingwood D. H., Damianou P. A., Ibragimov N. H., Koszul J. L., Kupershmidt B., Lichnerowicz A., Manakov S., Moser J., Oevel W., Ovsiannikov L. V., PANTELIS A. DAMIANOU, Smirnov R. G., Weinstein A.   +12 more
core   +1 more source

Cubature formulas of multivariate polynomials arising from symmetric orbit functions

, 2015
The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximating ...
Hrivnák, Jiří, Motlochová, Lenka, Patera, Jiří   +2 more
core   +2 more sources

Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials

, 2010
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select the cases to be considered here.
Nesterenko, Maryna, Patera, Jiri, Szajewska, Marzena, Tereszkiewicz, Agnieszka   +3 more
core   +1 more source