Results 1 to 10 of about 2,088,221 (361)
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
core +6 more sources
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
semanticscholar +4 more sources
Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions
Symmetry, 2016 The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximating ...
Jiří Hrivnák +2 more
doaj +4 more sources
Toda systems and exponents of simple Lie groups [PDF]
Bulletin des Sciences Mathématiques, 2001 AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates.
Joana M. Nunes da Costa +1 more
openalex +4 more sources
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
semanticscholar +8 more sources
Curvature spectra of simple Lie groups [PDF]
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2013 10 ...
A. Derdzinski, S. Gal
semanticscholar +4 more sources
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
doaj +5 more sources
Geometric dimension of lattices in classical simple Lie groups [PDF]
Journal of Topology, 2015 We prove that if Γ is a lattice in a classical simple Lie group G , then the symmetric space of G is Γ ‐equivariantly homotopy equivalent to a proper cocompact Γ ‐CW complex of dimension the virtual cohomological dimension of Γ .
J. Aramayona +3 more
semanticscholar +8 more sources
A spectral gap theorem in simple Lie groups [PDF]
arXiv, 2014 We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.
Y. Benoist, N. Saxcé
arxiv +2 more sources
On discretization of tori of compact simple Lie groups [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 22 pages, 6 ...
Jiří Hrivnák, J. Patera
openalex +5 more sources