A Comparison Theory for the Structure of Induced Representations II.
A remark on a theorem of R. S. Irving and L. W. Small. (Une remarque sur un théorème de R. S. Irving et L. W. Small.)
A surjectivity theorem for rigid highest weight modules.
Algebraic subgroups of Lie groups.
Algèbre de Jordan et ensemble de Wallach.
An analogue of the Weil representation for G2.
An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties
Analogues of Kostant's ...-cohomology formulas for unitary highest weight modules.
Analysis on real affine -varieties.
Annihilators of Verma modules for Kac-Moody algebras.
Branching laws for some unitary representations of .
Branching problems and -actions
We study certain -actions associated to specific examples of branching of scalar generalized Verma modules for compatible pairs , of Lie algebras and their parabolic subalgebras.
-Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations
Characteristic varieties of character sheaves.
Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups II.
Constant term in Harish-Chandra’s limit formula
Let be a real form of a complex semisimple Lie group . Recall that Rossmann defined a Weyl group action on Lagrangian cycles supported on the conormal bundle of the flag variety of . We compute the signed average of the Weyl group action on the characteristic cycle of the standard sheaf associated to an open -orbit on the flag variety. This result is applied to find the value of the constant term in Harish-Chandra’s limit formula for the delta function at zero.
Continuation of unitary derived functor modules out of the canonical chamber
Deformed Heisenberg algebra with reflection and -orthogonal polynomials
This paper is devoted to the study of matrix elements of irreducible representations of the enveloping deformed Heisenberg algebra with reflection, motivated by recurrence relations satisfied by hypergeometric functions. It is shown that the matrix elements of a suitable operator given as a product of exponential functions are expressed in terms of -orthogonal polynomials, which are reduced to the orthogonal Meixner polynomials when . The underlying algebraic framework allowed a systematic derivation...
Determination of the Interwining Operators for Holomorphically Induced Representations of SU (p,q).
Differential Operators on Homogeneous Spaces. I. Irreducibility of the Associated Variety for Annihilators of Induced Modules.