On Gelfand-Zetlin modules over \(U_q(gl_n)\)

DOI10.1023/A:1022893519337zbMath0979.17007OpenAlexW56283594MaRDI QIDQ5950810

Volodymyr Mazorchuk, Lyudmyla Turowska

Publication date: 17 December 2001

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

Full work available at URL: https://doi.org/10.1023/a:1022893519337

zbMATH Keywords

Gelfand-Zetlin constructionsimple finite-dimensional modules

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 (10)

Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\) ⋮ Quantum groups, quantum tori, and the Grothendieck-Springer resolution ⋮ De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum \(\mathfrak{gl}_N\) ⋮ Generic Gelfand-Tsetlin representations of Uqtw(𝔰𝔬3) and Uqtw(𝔰𝔬4) ⋮ Generic Gelfand-Tsetlin modules of quantized and classical orthogonal algebras ⋮ Theq-difference Noether problem for complex reflection groups and quantum OGZ algebras ⋮ Explicit construction of irreducible modules for \(U_q(\mathfrak{gl}_n)\) ⋮ Principal Galois orders and Gelfand-Zeitlin modules ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ QUANTUM DEFORMATION AND TABLEAUX REALIZATION OF SIMPLE DENSE ${\mathfrak g} l (n, {\mathbb C})$-MODULES

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