Results 11 to 20 of about 1,304,850 (179)
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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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
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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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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 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
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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
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A product theorem in simple Lie groups [PDF]
Geometric and Functional Analysis, 2015 We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.
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Representations of Complex Semi-Simple Lie Groups and Lie Algebras [PDF]
The Annals of Mathematics, 1966 Let \(\mathfrak g\) be a complex semisimple Lie algebra, \(\mathfrak h\) a Cartan subalgebra of \(\mathfrak g\) and \(\Delta\) the set of roots of \(\mathfrak g\) with respect to \(\mathfrak h\). For any positive system \(P\) of roots we denote by \(D_P\) the set of all \(\lambda\in\mathfrak h^*\) which are integral and dominant relative to \(P\). Let \
Parthasarathy, K. R. +2 more
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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
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An Invitation to Higher Gauge Theory [PDF]
, 2010 In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'.
A. Ashtekar +58 more
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