De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum glN

Futorny, Vyacheslav; Hartwig, Jonas T.

doi:10.1016/j.laa.2018.08.011

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De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum gl_N

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Futorny, Vyacheslav
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.laa.2018.08.011
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arXiv:1203.4793.pdf
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Citation

Futorny, V., & Hartwig, J. T. (2019). De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum gl_N. Linear Algebra and its Applications, 568, 173-188. doi:10.1016/j.laa.2018.08.011.

Cite as: https://hdl.handle.net/21.11116/0000-0004-6732-0

Abstract

In this note we compute the leading term with respect to the De Concini-Kac
filtration of $U_q(\mathfrak{gl}_n)$ of a generating set for the quantum Gelfand-Tsetlin subalgebra.