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
Recommended Citation
Cantuba, R. S., & Merciales, M. C. (2020). An extension of a q-deformed Heisenberg algebra and its lie polynomials. Expositiones Mathematicae https://doi.org/10.1016/j.exmath.2019.12.001
Disciplines
Mathematics
Keywords
Quantum theory; Lie algebras
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