Results 11 to 20 of about 321 (215)
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
doaj +1 more source
P-adic lattices are not K\"ahler groups [PDF]
Épijournal de Géométrie Algébrique, 2019 In this note we show that any lattice in a simple p-adic Lie group is not the fundamental group of a compact Ka\"hler manifold, as well as some variants of this result.
Bruno Klingler
doaj +1 more source
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 characteristic different from 2.
Bahturin, Yuri +2 more
openaire +2 more sources
On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 2017 The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj +1 more source
THE SHMUSHKEVICH METHOD FOR HIGHER SYMMETRY GROUPS OF INTERACTING PARTICLES
Acta Polytechnica, 2013 About 60 years ago, I. Shmushkevich presented a simple ingenious method for computing the relative probabilities of channels involving the same interacting multiplets of particles, without the need to compute the Clebsch-Gordan coefficients.
Mark Bodner +3 more
doaj +1 more source
Gauging Lie group symmetry in (2+1)d topological phases
SciPost Physics, 2023 We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern of the Lie group $G$, we first extend $G$ to a larger symmetry group ...
Meng Cheng, Po-Shen Hsin, Chao-Ming Jian
doaj +1 more source
Equivariant gerbes over compact simple Lie groups [PDF]
Comptes Rendus. Mathématique, 2003 Using groupoid S1-central extensions, we present, for a compact simple Lie group G, an infinite dimensional model of S1-gerbe over the differential stack G/G whose Dixmier–Douady class corresponds to the canonical generator of the equivariant cohomology HG3(G).
Behrend, Kai, Xu, Ping, Zhang, Bin
openaire +3 more sources
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 +2 more
doaj +1 more source
Low degree representations of simple Lie groups [PDF]
Proceedings of the American Mathematical Society, 2012 15 ...
Guralnick, Robert +2 more
openaire +3 more sources
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