Step algebras of quantum \({\mathfrak{sl}}(n)\)

DOI10.1016/S0021-8693(05)80059-6zbMath0755.17010OpenAlexW2051654857MaRDI QIDQ1194203

Pekka Kekäläinen

Publication date: 27 September 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(05)80059-6

zbMATH Keywords

quantum groupstep algebras

Mathematics Subject Classification ID

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

Cites Work

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• A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
• Harish-Chandra isomorphisms for quantum algebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• On irreducible \(A_ 2\)-finite \(G_ 2\)-modules
• Gelfand-Zetlin basis for \(U_ q(\mathfrak{gl}(\text{\textbf{N}}+\text{\textbf{1}}))\) modules.
• Step algebras of semi-simple subalgebras of Lie algebras
• A description of discrete series using step algebras.
• On the Determination of Irreducible Modules by Restriction to a Subalgebra

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