Results 21 to 30 of about 1,525 (197)
Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
Mathematics, 2021 In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Geometry applications of irreducible representations of Lie Groups [PDF]
, 2010 In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Thomas Leistner +5 more
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Extensions of Three Matrix Inequalities to Semisimple Lie Groups
Special Matrices, 2014 We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context ofsemisimple Lie groups.
Liu Xuhua, Tam Tin-Yau
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman +5 more
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Poisson–Lie identities and dualities of Bianchi cosmologies
European Physical Journal C: Particles and Fields, 2019 We investigate a special class of Poisson–Lie T-plurality transformations of Bianchi cosmologies invariant with respect to non-semisimple Bianchi groups. For six-dimensional semi-Abelian Manin triples $$\mathfrak {b}\bowtie \mathfrak {a}$$ b⋈a containing
Ladislav Hlavatý, Ivo Petr
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On Lie induction and the exceptional series [PDF]
, 2005 Lie bialgebras occur as the principal objects in the infinitesimalization of the theory of quantum groups — the semi-classical theory. Their relationship with the quantum theory has made available some new tools that we can apply to classical questions ...
GRABOWSKI, JANE, Grabowski, Jan
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International Journal of Mathematics and Mathematical Sciences, 2006 It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups.
Anton Deitmar
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SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS
, 2021 © 2020, Springer Science+Business Media, LLC, part of Springer Nature. This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg.
KAC, VG, ELASHVILI, AG, JIBLADZE, M
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Orthogonal Polynomials of Compact Simple Lie Groups
International Journal of Mathematics and Mathematical Sciences, 2011 Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
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Base sizes for simple groups and a conjecture of Cameron [PDF]
, 2009 Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
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