Induced representations of the two parametric quantum deformation Upq[gl(2/2)]

DOI10.1063/1.1286510zbMath0992.81036arXivmath/0005122OpenAlexW2007105126MaRDI QIDQ2738200

Nguyen Anh Ky

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005122

zbMATH Keywords

quantum superalgebraLie superalgebra \(\text{gl}(2|2)\)multi-parameter quantum deformation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

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• Compact matrix pseudogroups
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• On the defining relations of quantum superalgebras
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• \(\text{PSL}(n|n)\) sigma model as a conformal field theory
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• Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations
• q-oscillator realizations of the metaplectic representation of quantum osp(3,2)
• Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
• Two-parametric deformation and its induced representations
• A two-parameter quantization of sl(2/1) and its finite-dimensional representations
• Finite-dimensional representations of the quantum superalgebra U q[gl(2/2). I. Typical representations at generic q]
• Finite-dimensional representations of the quantum superalgebra Uq[gl(2/2). II. Nontypical representations at generic q]
• Induced representations of the multiparameter Hopf Superalgebras U_uq(gl(m/n)) and U_uq(sl(m/n))

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