A Poincaré–Birkhoff–Witt commutator lemma for Uq[gl(m|n)]

DOI10.1063/1.1511828zbMath1061.81037arXivmath/0207206OpenAlexW2092191693WikidataQ124835735 ScholiaQ124835735MaRDI QIDQ4832885

David De Wit

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math/0207206

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)

Related Items (2)

MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I ⋮ Polynomial super representations of \(U_q^{\mathrm{res}}(\mathfrak{gl}_{m\mid n})\) at roots of unity

Cites Work

• Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (\(\dot 0_m| \dot \alpha_n\)) representations of \(U_q[gl(m| n)\)]
• Universal L operator and invariants of the quantum supergroup U q (gl(m/n))
• Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))

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