The presentation and q deformation of special linear Lie superalgebras
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Publication:3141376
DOI10.1063/1.530059zbMath0798.17015OpenAlexW2056941812MaRDI QIDQ3141376
Publication date: 31 October 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530059
generatorsSerre relations\(\varepsilon\)-Lie algebras\(q\)-deformation of enveloping algebra of \(\text{sl}(m,n)\)Lie superalgebra \(\text{sl}(m,n)\)
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Graded Lie (super)algebras (17B70)
Related Items (17)
Deformations of enveloping algebra of Lie superalgebra \(sl(m,n)\) ⋮ A q-superdimension formula for irreps of type I quantum superalgebras ⋮ Jacobson generators of the quantum superalgebra Uq[sl(n+1|m) and Fock representations] ⋮ Classification of finite dimensional unitary irreps for U q[gl(m‖n)] ⋮ Classification of unitary and grade star irreps for U q (osp(2‖2n)) ⋮ Construction of the affine super Yangian ⋮ Finite dimensional representations of 𝑈_{𝑞}(𝑠𝑙(2,1)) ⋮ Classical and quantum sl(1‖2) superalgebras, Casimir operators and quantum chain Hamiltonians ⋮ Gauss decomposition of the Yangian \(Y({\mathfrak{gl}}_{m|n})\) ⋮ Serre-type relations for special linear Lie superalgebras ⋮ Quantum superalgebras \(\mathfrak u_q (\mathfrak{sl}(m|n))\) at roots of unity ⋮ Cohomology of Lie superalgebras and their generalizations ⋮ Affine quantum super Schur-Weyl duality ⋮ The Z2×Z2-graded general linear Lie superalgebra ⋮ Quantized enveloping algebras for Borcherds superalgebras ⋮ Integrable representations of \(U_q(\text{osp}(1,2n))\) ⋮ Hyperbolic Kac–Moody superalgebras
Cites Work
- Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)
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- Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Multiparametric quantum deformation of the general linear supergroup
- \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
- Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)]
- Universal \(R\)-matrix for quantized (super)algebras
- Universal R-matrices for quantum groups associated to simple Lie superalgebras
- On the defining relations of quantum superalgebras
- Serre-type relations for special linear Lie superalgebras
- Quantum Lie superalgebras and q-oscillators
- QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
- Graded tensor calculus
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Generalized Lie algebras
- Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
- Quantum groups
- Lie superalgebras
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