Bott–Borel–Weil construction for quantum supergroup Uq(gl(m|n))

DOI10.1063/1.532071zbMath0886.17011arXivq-alg/9612016OpenAlexW3125399197MaRDI QIDQ4352198

Ruibin Zhang

Publication date: 11 November 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9612016

zbMATH Keywords

irreducible representationsquantum superalgebracoherent statesBott-Borel-Weil construction

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) Coherent states (81R30)

Related Items (2)

Vector coherent state realization of representations of the affine superalgebra A(1)(,1) ⋮ Differential Representations of the Lie Superalgebra C(n+1)

Cites Work

• Homogeneous vector bundles
• Representation theory of Hopf Galois extensions
• An extension of the Borel-Weil construction to the quantum group \(U_ q(n)\)
• Quantum homogeneous spaces, duality and quantum 2-spheres
• Diagram and superfield techniques in the classical superalgebras
• Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
• Highest weight representations for gl(m/n) and gl(m+n)
• Lie superalgebras

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