Add to ORKGLet $\mathfrak{g}$ be a complex semisimple Lie algebra. We give a description of characters of irreducible Whittaker modules for $\mathfrak{g}$ with any infinitesimal character, along with a Kazhdan-Lusztig algorithm for computing them. This generalizes Milicic-Soergel's and Romanov's results for integral infinitesimal characters.Comment: Added more explanation on conceptual ideas. Rearranged contents. Simplified redundant notation
AbstractInspired by recent activities on Whittaker modules over various (Lie) algebras, we describe ...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractLet g be a finite-dimensional complex semisimple Lie algebra, and let V be a finite-dimensio...
To any element of a connected, simply connected, semisimple complex algebraic group G and a choice o...
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their de...
Let $\mathfrak{g}$ be a simple finite dimensional Lie algebra of type $A_n$ ($n \geqslant 2$), $D_n$...
The aim of these notes is to give a self-contained algebraic proof of the Weyl Character Formula. Th...
We have seen that irreducible representations of a compact Lie group G can be constructed starting f...
We show that, on the level of derived categories, representations of the Lie algebra of a semisimple...
Abstract. We establish an irreducibility property for the characters of finite di-mensional, irreduc...
AbstractIn 1964, Antoine and Speiser published succinct and elegant formulae for the characters of t...
In this paper we consider the structure and representation theory of truncated current algebras $\ma...
We classify irreducible Whittaker modules for generalized Heisenberg Lie algebra t and irreducible W...
We propose a conjecture relating two different sets of characters for the complex reflection group $...
The main result in this paper is the character formula for arbitrary irreducible highest weight modu...
AbstractInspired by recent activities on Whittaker modules over various (Lie) algebras, we describe ...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractLet g be a finite-dimensional complex semisimple Lie algebra, and let V be a finite-dimensio...
To any element of a connected, simply connected, semisimple complex algebraic group G and a choice o...
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their de...
Let $\mathfrak{g}$ be a simple finite dimensional Lie algebra of type $A_n$ ($n \geqslant 2$), $D_n$...
The aim of these notes is to give a self-contained algebraic proof of the Weyl Character Formula. Th...
We have seen that irreducible representations of a compact Lie group G can be constructed starting f...
We show that, on the level of derived categories, representations of the Lie algebra of a semisimple...
Abstract. We establish an irreducibility property for the characters of finite di-mensional, irreduc...
AbstractIn 1964, Antoine and Speiser published succinct and elegant formulae for the characters of t...
In this paper we consider the structure and representation theory of truncated current algebras $\ma...
We classify irreducible Whittaker modules for generalized Heisenberg Lie algebra t and irreducible W...
We propose a conjecture relating two different sets of characters for the complex reflection group $...
The main result in this paper is the character formula for arbitrary irreducible highest weight modu...
AbstractInspired by recent activities on Whittaker modules over various (Lie) algebras, we describe ...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractLet g be a finite-dimensional complex semisimple Lie algebra, and let V be a finite-dimensio...