Endomorphisms of Quantum Generalized Weyl Algebras

Kitchin, Andrew and Launois, Stephane (2014) Endomorphisms of Quantum Generalized Weyl Algebras. Letters in Mathematical Physics, 104 (7). pp. 837-848. ISSN 0377-9017. (doi:https://doi.org/10.1007/s11005-014-0691-4) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

We prove that every endomorphism of a simple quantum generalized Weyl algebra A over a commutative Laurent polynomial ring in one variable is an automorphism. This is achieved by obtaining an explicit classification of all endomorphisms of A. Our main result applies to minimal primitive factors of the quantized enveloping algebra Uq(sl2) and certain minimal primitive quotients of the positive part of Uq(so5)

Item Type: Article
Uncontrolled keywords: 16W35 16S32 16W20 17B37 generalized Weyl Algebras endomorphisms
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Stephane Launois
Date Deposited: 09 Jun 2014 10:12 UTC
Last Modified: 26 Apr 2018 10:49 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/41342 (The current URI for this page, for reference purposes)
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