Finite dimensional representations of 𝑈_{𝑞}(𝑠𝑙(2,1))

DOI10.1090/S0002-9939-97-03757-XzbMath0911.17009OpenAlexW1516120004MaRDI QIDQ4336629

Yi Ming Zou

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03757-x

zbMATH Keywords

quantum superalgebraroot of unity representations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Cites Work

• Unnamed Item
• Quantum groups at roots of 1
• Quantum deformations of certain simple modules over enveloping algebras
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• On the defining relations of quantum superalgebras
• Serre-type relations for special linear Lie superalgebras
• Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\)
• Two variable link polynomials from quantum supergroups
• Deformations of enveloping algebra of Lie superalgebra \(sl(m,n)\)
• The presentation and q deformation of special linear Lie superalgebras
• Braid group representations arising from quantum supergroups with arbitrary q and link polynomials
• Classification of finite dimensional unitary irreps for U q[gl(m‖n)]
• Lie superalgebras

This page was built for publication: Finite dimensional representations of 𝑈_{𝑞}(𝑠𝑙(2,1))