Add to ORKGWe develop a general framework for studying relative weight representations for certain pairs consistingof an associative algebra and a commutative subalgebra. Using these tools we describe projective and simple weightmodules for a common localisation of two quantum versions of Weyl algebras, one by Maltsiniotis and the otherone by Akhavizadegan and Jordan, for generic values of the deformation parameters.Fil: Futorny, Vyacheslav. Universidade de Sao Paulo; BrasilFil: Rigal, Laurent. Universite de Paris 13-Nord; FranciaFil: Solotar, Andrea Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de ...
The term "Weyl algebras" is proposed for differential algebras associated with dual pairs of Hopf al...
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, o...
AbstractWe construct quantum groups Uq(g) associated with generalized Kac-Moody algebras g with admi...
International audienceWe develop a general framework for studying relative weight representations fo...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
Neste trabalho, introduzimos as álgebras de Weyl clássicas A = A_n e as generalizadas A = D(sigma, a...
We construct a family of irreducible representations of the quantum plane and of the quantum Weyl al...
We construct a family of irreducible representations of the quantum plane and of the quantum Weyl al...
This work develops the theory of generalized Weyl algebras (GWAs) in order to study generic quantize...
This thesis lies at the crossroads of representation theory and combinatorics. It is subdivided into...
Abstract. We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their...
We study the irreducibility and unitarity of highest weight modules of the quantized enveloping alg...
We study the irreducibility and unitarity of highest weight modules of the quantized enveloping alg...
We construct quantum groups U_q(g) associated with generalized Kac-Moody algebras g with admissible ...
The term "Weyl algebras" is proposed for differential algebras associated with dual pairs of Hopf al...
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, o...
AbstractWe construct quantum groups Uq(g) associated with generalized Kac-Moody algebras g with admi...
International audienceWe develop a general framework for studying relative weight representations fo...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
Neste trabalho, introduzimos as álgebras de Weyl clássicas A = A_n e as generalizadas A = D(sigma, a...
We construct a family of irreducible representations of the quantum plane and of the quantum Weyl al...
We construct a family of irreducible representations of the quantum plane and of the quantum Weyl al...
This work develops the theory of generalized Weyl algebras (GWAs) in order to study generic quantize...
This thesis lies at the crossroads of representation theory and combinatorics. It is subdivided into...
Abstract. We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their...
We study the irreducibility and unitarity of highest weight modules of the quantized enveloping alg...
We study the irreducibility and unitarity of highest weight modules of the quantized enveloping alg...
We construct quantum groups U_q(g) associated with generalized Kac-Moody algebras g with admissible ...
The term "Weyl algebras" is proposed for differential algebras associated with dual pairs of Hopf al...
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, o...
AbstractWe construct quantum groups Uq(g) associated with generalized Kac-Moody algebras g with admi...