Title

An extension of a q-deformed Heisenberg algebra and its lie polynomials

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Expositiones Mathematicae

Publication Date

1-1-2020

Abstract

Let F be a field, and fix a q∈F. The q-deformed Heisenberg algebra H(q) is the unital associative algebra over F with generators A, B and a relation which asserts that AB−qBA is the multiplicative identity in H(q). We extend H(q) into an algebra R(q) defined by generators A, B and a relation which asserts that AB−qBA is central in R(q). We identify all elements of R(q) that are Lie polynomials in A, B. © 2020 Elsevier GmbH

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Digitial Object Identifier (DOI)

10.1016/j.exmath.2019.12.001

Disciplines

Mathematics

Keywords

Quantum theory; Lie algebras

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