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Torsors, reductive group schemes and extended affine Lie algebras
(American Mathematical Society, 2013-11)
We give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction ...
Restrición de representaciones de cuadrado integrable /
(2007-03)
Sea G un grupo de Lie simple de tipo no compacto, conexo y con centro finito. Fijemos un subgrupo compacto maximal K de G. Sea p una representación unitaria e irreducible de G y sea H un subgrupo reductivo cerrado de G. ...
Towards a Lie theory for vertex and conformal algebras
(Cornell University, 2020-04)
We introduce several definitions within the framework ofvertex and conformal algebras which are analogous to some importantconcepts of the classical Lie theory. Most importantly, we define vertexmanifolds, which correspond ...
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II: Unipotent classes in symplectic groups
(World Scientific, 2016-08)
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal ...
The index of symmetry of three-dimensional Lie groups with a left-invariant metric
(De Gruyter, 2018-10)
We determine the index of symmetry of 3-dimensional unimodular Lie groups with a left-invariant metric. In particular, we prove that every 3-dimensional unimodular Lie group admits a left-invariant metric with positive ...