AbstractLet U(G) be a maximal unipotent subgroup of one of the classical groups G=GL(V), O(V), Sp(V). Let W be a direct sum of copies of V and its dual V*. For the natural action U(G):W, we describe a minimal system of homogeneous generators for the algebra of U(G)-invariant regular functions on W. For G=O(V), Sp(V), this result is connected with a construction for the irreducible representations of G due to H. Weyl
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some ver...
Abstract. Let G be a simple algebraic group over the algebraically closed field k of char-acteristic...
Generic irreducible unitary representations of classical groups have been classi-fied in [LMT]. The ...
Summary. Let G be a finite group acting linearly on the vector space V over a field of arbitrary cha...
ABSTRACT. The fundamental lemma in the theory of automorphic forms is proven for the (quasi-split) u...
Founding harmonic analysis on classical simple complex groups, I.M. Gelfand and M.A. Naimark in thei...
AbstractLet N be a maximal unipotent subgroup of a classical complex Lie group G, whose Lie algebra ...
Abstract. We give explicit systems of generators of the algebras of invariant polynomials in arbitra...
AbstractLet G be the general linear group or the symplectic group over the complex numbers, and U be...
Let G be the general linear group or the symplectic group over the complex numbers, and U be its max...
A fundamental problem in representation theory is to determine the unitary dual G ̂ of a given (real...
Let k be a finite extension of Qp , let G be an absolutely simple split reductive group over k , an...
Let G be a group acting faithfully on a homogeneous tree of order p + 1, p > 1. Let K\ub0 be the spa...
AbstractFor discrete Hecke pairs (G,H), we introduce a notion of covariant representation which redu...
Abstract. Let G be a split reductive group over a finite field Fq. Let F D Fq.t / and let A denote t...
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some ver...
Abstract. Let G be a simple algebraic group over the algebraically closed field k of char-acteristic...
Generic irreducible unitary representations of classical groups have been classi-fied in [LMT]. The ...
Summary. Let G be a finite group acting linearly on the vector space V over a field of arbitrary cha...
ABSTRACT. The fundamental lemma in the theory of automorphic forms is proven for the (quasi-split) u...
Founding harmonic analysis on classical simple complex groups, I.M. Gelfand and M.A. Naimark in thei...
AbstractLet N be a maximal unipotent subgroup of a classical complex Lie group G, whose Lie algebra ...
Abstract. We give explicit systems of generators of the algebras of invariant polynomials in arbitra...
AbstractLet G be the general linear group or the symplectic group over the complex numbers, and U be...
Let G be the general linear group or the symplectic group over the complex numbers, and U be its max...
A fundamental problem in representation theory is to determine the unitary dual G ̂ of a given (real...
Let k be a finite extension of Qp , let G be an absolutely simple split reductive group over k , an...
Let G be a group acting faithfully on a homogeneous tree of order p + 1, p > 1. Let K\ub0 be the spa...
AbstractFor discrete Hecke pairs (G,H), we introduce a notion of covariant representation which redu...
Abstract. Let G be a split reductive group over a finite field Fq. Let F D Fq.t / and let A denote t...
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some ver...
Abstract. Let G be a simple algebraic group over the algebraically closed field k of char-acteristic...
Generic irreducible unitary representations of classical groups have been classi-fied in [LMT]. The ...
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