1 citations · 1 across the 4 of their papers we have counts for
4 papers
Disconnected reductive groups
Marisa Gaetz, David Vogan
In this paper, we describe the possible disconnected complex reductive algebraic groups with component group . We show that there is a natural bijection between such…
Signatures for finite-dimensional representations of real reductive Lie groups
Daniil Kalinov, David A. Vogan, Christopher Xu
We present a closed formula, analogous to the Weyl dimension formula, for the signature of an invariant Hermitian form on any finite-dimensional irreducible representation of a rea…
Parameters for Twisted Representations
Jeffrey Adams, David A. Vogan
The study of Hermitian forms on a real reductive group gives rise, in the unequal rank case, to a new class of Kazhdan-Lusztig-Vogan polynomials. These are associated with an o…
On the classification of unitary representations of reductive Lie groups
Susana A. Salamanca-Riba, David A. Vogan
Suppose G is a real reductive Lie group in Harish-Chandra's class. We propose here a structure for the set Π_u(G) of equivalence classes of irreducible unitary representations of G…