Results 11 to 20 of about 1,281,981 (325)
Group gradings on finitary simple Lie algebras [PDF]
International Journal of Algebra and Computation, 2012 We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of ...
Bahturin Y. +7 more
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Character estimates of adjoint simple Lie groups [PDF]
Journal of Group Theory, 2014 Abstract Call a compact, connected, simple Lie group G adjoint simple if it has trivial center. Let C ⊂ G be a nontrivial conjugacy class, e ∈ G the identity element of G. We prove the existence of a bound N ∈ ℕ, depending on G but not C, such that e lies in the interior of Cn for all n ≥ N.
Corey Manack
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Expansion in finite simple groups of Lie type [PDF]
Journal of the European Mathematical Society, 2013 We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].
Emmanuel Breuillard +3 more
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On Reidemeister torsion of flag manifolds of compact semisimple Lie groups
AIMS Mathematics, 2020 In this paper we calculate Reidemeister torsion of flag manifold $K/T$ of compact semi-simple Lie group $K=SU_{n+1}$ using Reidemeister torsion formula and Schubert calculus, where $T$ is maximal torus of $K$. We find that this number is 1.
Cenap Özel +5 more
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The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
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The index of compact simple Lie groups [PDF]
, 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
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Decomposition numbers for perverse sheaves [PDF]
, 2008 The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two situations: for a simple (Kleinian) surface singularity, and ...
Juteau, Daniel
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On the Fundamental Group of a Simple Lie Group [PDF]
Nagoya Mathematical Journal, 1970 Let G be a simply connected simple Lie group and C the center of G, which is isomorphic with the fundamental group of the adjoint group of G. For an element c of C, an element x of the Lie algebra g of G is called a representative of c in g if exp x = c.
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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
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New Beauville surfaces and finite simple groups [PDF]
, 2011 In this paper we construct new Beauville surfaces with group either $\PSL(2,p^e)$, or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer ...
Garion, Shelly, Penegini, Matteo
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