The Equitable Presentation for the Extended Quantum Algebra Uq(f(K; J))

Ye, Lixia and Mei, Xuefeng (2022) The Equitable Presentation for the Extended Quantum Algebra Uq(f(K; J)). Journal of Advances in Mathematics and Computer Science, 37 (8). pp. 1-10. ISSN 2456-9968

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Abstract

Let Uq(f(K, J)) be an extended quantum enveloping algebra associated to sl2. In this paper, we display an equitable presentation for Uq(f(K, J)), in which all generators appear on a more equal footing. We also show that the equitable generators Y and Z are not invertible. Moreover, we give a presentation for the positive even subalgebra of Uq(f(K, J)) by generators and relations.

Item Type: Article
Subjects: Impact Archive > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 16 Mar 2023 09:21
Last Modified: 09 Mar 2024 04:03
URI: http://research.sdpublishers.net/id/eprint/1560

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