Add to ORKGThe purpose of this paper is to establish an algorithm to compute characters of irreducible Harish-Chandra modules for a large class of nonlinear (that is, nonalgebraic) real reductive Lie groups. We then apply this theory to study a particular group (the universal cover G̃L(n,R) of GL(n,R)), and discover a symmetry of the character computations encode
AbstractWe construct a family of orthogonal characters of an algebra group which decompose the super...
A method is investigated for inducing highest-weight representations for the quantum group U(q)(gl(n...
Abstract. We use Kazhdan-Lusztig polynomials and subspaces of the polynomial ring C[x1,1,..., xn,n] ...
AbstractWe compute the characters of the finite dimensional irreducible representations of the Lie s...
This thesis is written in the subfield of mathematics known as representation theory of real reducti...
In representation theory typical problems are decomposition problems, i.e. the question how a given ...
For any Lie supergroup whose underlying Lie group is reductive, we prove an extension of the Casselm...
Abstract: Let G be the real points of a connected linear reductive complex algebraic group defined o...
In Part I of this thesis, we locate a (conjecturally complete) set of unitary representations in the...
Abstract. We compute the W-module structure of a large number of cells of Harish-Chandra modules for...
dissertationGiven a real reductive linear Lie group G, consider the nite set D of Langlands paramet...
Abstract. We establish a Kazhdan-Lusztig algorithm to compute characters of irreducible genuine repr...
International audienceLet G_R be a simple real linear Lie group with maximal compact subgroup K_R an...
We show that parabolic Kazhdan-Lusztig polynomials of type A compute the decomposition numbers in ce...
We describe a simple algorithm for computing Kashiwara's global crystal basis of a finite-dimen...
AbstractWe construct a family of orthogonal characters of an algebra group which decompose the super...
A method is investigated for inducing highest-weight representations for the quantum group U(q)(gl(n...
Abstract. We use Kazhdan-Lusztig polynomials and subspaces of the polynomial ring C[x1,1,..., xn,n] ...
AbstractWe compute the characters of the finite dimensional irreducible representations of the Lie s...
This thesis is written in the subfield of mathematics known as representation theory of real reducti...
In representation theory typical problems are decomposition problems, i.e. the question how a given ...
For any Lie supergroup whose underlying Lie group is reductive, we prove an extension of the Casselm...
Abstract: Let G be the real points of a connected linear reductive complex algebraic group defined o...
In Part I of this thesis, we locate a (conjecturally complete) set of unitary representations in the...
Abstract. We compute the W-module structure of a large number of cells of Harish-Chandra modules for...
dissertationGiven a real reductive linear Lie group G, consider the nite set D of Langlands paramet...
Abstract. We establish a Kazhdan-Lusztig algorithm to compute characters of irreducible genuine repr...
International audienceLet G_R be a simple real linear Lie group with maximal compact subgroup K_R an...
We show that parabolic Kazhdan-Lusztig polynomials of type A compute the decomposition numbers in ce...
We describe a simple algorithm for computing Kashiwara's global crystal basis of a finite-dimen...
AbstractWe construct a family of orthogonal characters of an algebra group which decompose the super...
A method is investigated for inducing highest-weight representations for the quantum group U(q)(gl(n...
Abstract. We use Kazhdan-Lusztig polynomials and subspaces of the polynomial ring C[x1,1,..., xn,n] ...