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

Authors

Rafael Reno S. Cantuba, De La Salle University, Manila
Mark Anthony C. Merciales, De La Salle University, Manila

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

html

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

Upload File

wf_no