Results 1 to 10 of about 1,803,368 (238)
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 ...
Bahturin Y. +7 more
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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.
M. Takeuchi
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Borelian subgroups of simple Lie groups [PDF]
Duke Mathematical Journal, 2014 We prove that in a simple real Lie group, there is no Borel measurable dense subgroup of intermediate Hausdorff dimension.
Nicolas de Saxc'e
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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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Toda systems and exponents of simple Lie groups [PDF]
Bulletin des Sciences Mathématiques, 2001 The authors study some aspects of the Bogoyavlensky Toda systems of \(A_n\), \(B_n\) and \(C_n\) types. The results include master symmetries, recursion operators, higher Poisson brackets and invariants presented both in Flaschka's and in natural coordinates.
Joana M. Nunes da Costa +1 more
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Strong property (T) for higher rank simple Lie groups [PDF]
, 2015 We prove that connected higher rank simple Lie groups have Lafforgue's strong property (T) with respect to a certain class of Banach spaces $\mathcal{E}_{10}$ containing many classical superreflexive spaces and some non-reflexive spaces as well.
de la Salle, Mikael, de Laat, Tim
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Simple Lie groups without the approximation property [PDF]
Duke Mathematical Journal, 2012 For a locally compact group G, let A(G) denote its Fourier algebra, and let M_0A(G) denote the space of completely bounded Fourier multipliers on G.
U. Haagerup, T. D. Laat
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Orthogonal Polynomials of Compact Simple Lie Groups [PDF]
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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Commutators in a semi-simple Lie group [PDF]
Proceedings of the American Mathematical Society, 1962 Samuel Pasiencier, Hsien-chung Wang
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Taut representations of compact simple Lie groups [PDF]
Illinois Journal of Mathematics, 2008 In this paper we classify the reducible representations of compact simple Lie groups all of whose orbits are tautly embedded in Euclidean space with respect to Z_2 coefficients.
Cláudio Gorodski
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