2 citations · 4 across the 9 of their papers we have counts for
10 papers
Nilpotent orbits of Kac-Moody algebras and its parameterization for
Esther Galina, Lorena Valencia
In the context of affine complex Kac-Moody algebras, we define the meaning of nilpotent orbits under the adjoint action of the maximal Kac-Moody group. We also give a parameterizat…
Discrete series of simple Lie groups with admissible restriction to a
Esther Galina, Jorge A. Vargas
In this note we determine the irreducible square integrable representations of a simple group which admits an admissible restriction to a subgroup locally isomorphic to $SL_2(\…
Kirillov's conjecture and $\CaD$-modules
Esther Galina, Yves Laurent
In the theory of Lie groups, the irreducibility of a unitary representation is not preserved in general by restriction to a subgroup. Kirillov's conjecture says that it is preserve…
Self-adjoint representations of braid groups
Claudia Maria Egea, Esther Galina
We give a method to construct new self-adjoint representations of the braid group. In particular, we give a family of irreducible self-adjoint representations of dimension arbitrar…
Parametrization of representations of braid groups
Claudia Maria Egea, Esther Galina
We give a method to produce representations of the braid group of generators (). Moreover, we give sufficient conditions over a non unitary representation…
Some irreducible representations of the braid group B_n of dimension greater than n
Claudia Maria Egea, Esther Galina
For any n>3, we give a family of finite dimensional irreducible representations of the braid group B_n. Moreover, we give a subfamily parametrized by 0<m<n of dimension the combina…