Launois, S. ORCID: 0000-0001-7252-8515 and Oppong, Isaac (2023) Derivations of a family of quantum second Weyl algebras. Bulletin des Sciences Mathématiques, 184:103257. pp. 1-43. ISSN 0007-4497 (doi:https://doi.org/10.1016/j.bulsci.2023.103257)

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Abstract

In view of a well-known theorem of Dixmier, its is natural to consider primitive quotients of Uq+(g) as quantum analogues of Weyl algebras. In this work, we study primitive quotients of Uq+(G2) and compute their Lie algebra of derivations. In particular, we show that, in some cases, all derivations are inner showing that the corresponding primitive quotients of Uq+(G2) should be considered as deformations of Weyl algebras.

Item Type:	Article
Uncontrolled Keywords:	quantized enveloping algebras, primitive ideals, weyl algebras derivations
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Last Modified:	18 Dec 2023 10:45
URI:	http://gala.gre.ac.uk/id/eprint/45140

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