The quantum groups \(U_q(\text{sl}(k))\) in the representation theory of the full linear groups \(\text{GL}(n,q)\)

DOI10.1006/jabr.2001.9025zbMath1018.20037OpenAlexW2026447250MaRDI QIDQ1604375

Avital Frumkin

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9025

zbMATH Keywords

quantum groupsirreducible representationsCasimir invariantsdouble centralizer theoremcharacter formulasfull linear groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field
• Introduction to quantum groups
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