Results 11 to 20 of about 1,525 (197)
Quantized semisimple Lie groups [PDF]
Archivum MathematicumNotes taken from a series of lectures by R.
Fioresi R., Yuncken R.
core +6 more sources
Connections on Semisimple Lie Groups [PDF]
Transactions of the American Mathematical Society, 1972 The plus and minus connections of Cartan and Schouten, which exist on any Lie group, have the following three properties: (1) the connection is left invariant, (2) the curvature of the connection is zero, (3) the set of maximal geodesics through the identity of the Lie group is equal to the set of one-parameter subgroups of the Lie group.
Robert E. Beck
openaire +3 more sources
Quantization of semisimple real Lie groups [PDF]
Archivum MathematicumWe provide a novel construction of quantized universal enveloping $*$-algebras of real semisimple Lie algebras, based on Letzter's theory of quantum symmetric pairs. We show that these structures can be `integrated', leading to a quantization of the group C$^*$-algebra of an arbitrary semisimple algebraic real Lie group.
De Commer, Kenny
core +6 more sources
Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
doaj +1 more source
Kählerian Coset Spaces of Semisimple Lie Groups. [PDF]
Proc Natl Acad Sci U S A, 1954 Borel A.
europepmc +5 more sources
Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
core +1 more source
Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
core +1 more source
The sheets of a classical lie algebra [PDF]
, 2005 We consider the adjoint action of a connected complex semisimple group G on its Lie algebra g. A sheet of g is a maximal irreducible subset of g consisting of G-orbits of a fixed dimension.
Im Hof, Andreas Emanuel
core +1 more source
On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
doaj +1 more source
Quantised coordinate rings of semisimple groups are unique factorisation domains [PDF]
, 2007 We show that the quantum coordinate ring of a semisimple group is a unique factorisation domain in the sense of Chatters and Jordan in the case where the deformation parameter q is a transcendental ...
Lenagan, T.H., Launois, Stephane
core +1 more source