Finite-dimensional representations of the quantum superalgebra U q[gl(2/2)]. I. Typical representations at generic q
From MaRDI portal
Publication:4314240
DOI10.1063/1.530525zbMath0809.17006arXivhep-th/9305183OpenAlexW3120796082MaRDI QIDQ4314240
Publication date: 11 December 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9305183
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items (5)
Finite-dimensional representations of the quantum superalgebra Uq[gl(2/2). II. Nontypical representations at generic q] ⋮ Representations of quantum affine superalgebras ⋮ Induced representations of the two parametric quantum deformation Upq[gl(2/2)] ⋮ A relativistic relative of the magnon S-matrix ⋮ Representations of quantum superalgebra U q[gl(2|1) in a coherent state basis and generalization]
Cites Work
- An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
- Some algebraic structures connected with the Yang-Baxter equation
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Compact matrix pseudogroups
- A new interpretation of Gelfand-Tsetlin bases
- Quantum deformations of certain simple modules over enveloping algebras
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Multiparametric quantum deformation of the general linear supergroup
- Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)]
- Universal \(R\)-matrix for quantized (super)algebras
- On the defining relations of quantum superalgebras
- Serre-type relations for special linear Lie superalgebras
- Quantum Lie superalgebras and q-oscillators
- The quantum group SUq(2) and a q-analogue of the boson operators
- Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations
- Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typical representations
- On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
- q-oscillator realizations of the metaplectic representation of quantum osp(3,2)
- Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
- On the Representations of the Semisimple Lie Groups. II
- Lie superalgebras
This page was built for publication: Finite-dimensional representations of the quantum superalgebra U q[gl(2/2)]. I. Typical representations at generic q