Quantum supergroup Ur,s(osp(1, 2)), Scasimir operators and Dickson polynomials

Fu Liu; Naihong Hu; Naihuan Jing

doi:10.1142/S0219498824500038

Quantum supergroup U_r,s(osp(1, 2)), Scasimir operators and Dickson polynomials

Fu Liu
, Naihong Hu
, Naihuan Jing^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We study the center of two-parameter quantum supergroup Ur,s(osp(1, 2)) using the Dickson polynomial. We show that the Scasimir operator is completely determined by the q-deformed Chebychev polynomial, generalizing an earlier work of Arnaudon and Bauer.

Original language	English
Article number	2450003
Journal	Journal of Algebra and its Applications
Volume	23
Issue number	1
DOIs	https://doi.org/10.1142/S0219498824500038
State	Published - 1 Jan 2024

Keywords

Dickson polynomial
Scasimir operator
Two-parameter quantum supergroup
center

Access to Document

10.1142/S0219498824500038

Cite this

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abstract = "We study the center of two-parameter quantum supergroup Ur,s(osp(1, 2)) using the Dickson polynomial. We show that the Scasimir operator is completely determined by the q-deformed Chebychev polynomial, generalizing an earlier work of Arnaudon and Bauer.",

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AU - Jing, Naihuan

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AB - We study the center of two-parameter quantum supergroup Ur,s(osp(1, 2)) using the Dickson polynomial. We show that the Scasimir operator is completely determined by the q-deformed Chebychev polynomial, generalizing an earlier work of Arnaudon and Bauer.

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KW - Scasimir operator

KW - Two-parameter quantum supergroup

KW - center

UR - https://www.scopus.com/pages/publications/85143601803

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DO - 10.1142/S0219498824500038

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