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The index of compact simple Lie groups [PDF]
Bulletin of the London Mathematical Society, 2017 Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is to determine the index i(M) for all irreducible Riemannian symmetric spaces M of type (II) and (IV).
Berndt, Jurgen, Olmos, Carlos
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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 +2 more
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A Class of Calogero Type Reductions of Free Motion on a Simple Lie Group [PDF]
, 2006 The reductions of the free geodesic motion on a non-compact simple Lie group G based on the G+ × G+ symmetry given by left- and right-multiplications for a maximal compact subgroup $${G_{+} \subset G}$$ are investigated. At generic values of the momentum
L. Fehér, B. Pusztai
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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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Exotic group C * -algebras of simple Lie groups with real rank one [PDF]
Annales de l'Institut Fourier, 2019 It is well known that the universal and the reduced group $C^*$-algebra of a locally compact group coincide if and only if the group is amenable. In general, there can be many $C^*$-algebras, called exotic group $C^*$-algebras, which lie between these ...
T. D. Laat, Timo Siebenand
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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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TorusE: Knowledge Graph Embedding on a Lie Group [PDF]
AAAI Conference on Artificial Intelligence, 2017 Knowledge graphs are useful for many artificial intelligence (AI) tasks. However, knowledge graphs often have missing facts. To populate the graphs, knowledge graph embedding models have been developed.
Takuma Ebisu, R. Ichise
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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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Curvature spectra of simple Lie groups [PDF]
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2013 10 ...
Andrzej Derdzinski, Światosław R. Gal
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On discretization of tori of compact simple Lie groups: II [PDF]
, 2012 Jiří Hrivnák, J. Patera
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