Structure and representations on the quantum supergroup OSPq(2|2n)

DOI10.1063/1.1286881zbMath1054.81514OpenAlexW2057638008MaRDI QIDQ2738208

Ruibin Zhang

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.1286881

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) Quantum groups (quantized function algebras) and their representations (20G42) Noncommutative geometry (à la Connes) (58B34)

Related Items (1)

Invariant integration on classical and quantum Lie supergroups

Cites Work

• Universal \(R\)-matrix for quantized (super)algebras
• Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\)
• Structure and representations of the quantum general linear supergroup
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• The \(gl(M| N)\) super Yangian and its finite-dimensional representations
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• Symmetrizable quantum affine superalgebras and their representations
• Classification of star and grade-star representations of C(n+1)
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Braid group representations arising from quantum supergroups with arbitrary q and link polynomials
• Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
• The antipode of and star operations in a Hopf algebra
• Geometry and representations of the quantum supergroup OSPq(1|2n)
• Finite-dimensional representations of U_q(C(n+1)) at arbitrary q
• QUANTUM SUPERGROUPS AND TOPOLOGICAL INVARIANTS OF THREE-MANIFOLDS
• Character formulae for the lie superalgebra C(n)

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