A Serre type theorem for affine Lie superalgebras and their quantized enveloping superalgebras

DOI10.3792/pjaa.70.31zbMath0987.17008OpenAlexW2045129648MaRDI QIDQ1327770

Hiroyuki Yamane

Publication date: 8 August 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195511169

zbMATH Keywords

Hopf superalgebraquantized enveloping algebras for Kac-Moody algebras

Mathematics Subject Classification ID

Related Items (7)

\(q\)-algebras and arrangements of hyperplanes ⋮ Generalized root systems and the affine Lie superalgebra \(\mathrm {G}^{(1)}(3)\) ⋮ On generators and defining relations of quantum affine superalgebra Uq(𝔰𝔩̂m|n) ⋮ On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ On the construction and solution of \(U_q(\widehat{\text{gl}}(2,1;{\mathbb{C}}))\)-symmetric models ⋮ Quantized enveloping algebras for Borcherds superalgebras

Cites Work

• Quantum R matrix for the generalized Toda system
• Structure of basic Lie superalgebras and of their affine extensions
• Universal R-matrices for quantum groups associated to simple Lie superalgebras
• Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
• KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS
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