Generic Gelfand-Tsetlin representations of Uqtw(𝔰𝔬3) and Uqtw(𝔰𝔬4)

DOI10.1142/s0219498823501281arXiv2105.08033OpenAlexW4224127255MaRDI QIDQ6104116

Jordan Disch

Publication date: 28 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08033

zbMATH Keywords

quantum grouprepresentationquantum algebraorthogonalGelfand-Tsetlin

Mathematics Subject Classification ID

Representation theory of associative rings and algebras (16G99) Hopf algebras, quantum groups and related topics (16T99)

Cites Work

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• \(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Construction of Gelfand-Tsetlin basis for \({\mathcal U}_ q(gl(N+1))\)- modules
• Serre-Lusztig relations for \(\imath\) quantum groups
• COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS
• On Gelfand-Zetlin modules over \(U_q(gl_n)\)

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