Results 11 to 20 of about 96,479 (309)

On simple modules with singular highest weights for so2l+1(K)

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev, A.Zh. Seitmuratov, L.S. Kainbayeva   +2 more
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Cohomology of simple modules for algebraic groups

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev, L.S. Kainbaeva, S.K. Menlikhozhayeva   +2 more
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Cooking pasta with Lie groups

Nuclear Physics B, 2022
We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori, F. Canfora, M. Lagos, F. Muscolino, A. Vera   +4 more
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Simple Lie groups stabilizing G-invariant norms

Linear Algebra and its Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcell Gaál, Robert M. Guralnick
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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, Habib Basbaydar, Yasar Sözen, Erol Yilmaz, Jung Rye Lee, Choonkil Park   +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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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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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, Brešar, Matej, Kochetov, Mikhail   +2 more
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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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Varieties of a class of elementary subalgebras

AIMS Mathematics, 2022
Let $ G $ be a connected standard simple algebraic group of type $ C $ or $ D $ over an algebraically closed field $ \Bbbk $ of positive characteristic $ p > 0 $, and $ \mathfrak{g}: = \mathrm{Lie}(G) $ be the Lie algebra of $ G $.
Yang Pan, Yanyong Hong
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