Torsion-type q-deformed Heisenberg algebra and its lie polynomials
College
College of Science
Department/Unit
Mathematics and Statistics Department
Document Type
Conference Proceeding
Source Title
Springer Proceedings in Mathematics and Statistics
Volume
317
First Page
575
Last Page
592
Publication Date
2020
Abstract
Given a scalar parameter q, the q-deformed Heisenberg algebra H(q) is the unital associative algebra with two generators A, B that satisfy the q-deformed commutation relation AB-qBA=I, where I is the multiplicative identity. For H(q) of torsion-type, that is if q is a root of unity, characterization is obtained for all the Lie polynomials in A, B and basis and graded structure and commutation relations for associated Lie algebras are studied.
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Digitial Object Identifier (DOI)
10.1007/978-3-030-41850-2_24
Recommended Citation
Cantuba, R. S., & Silvestrov, S. (2020). Torsion-type q-deformed Heisenberg algebra and its lie polynomials. Springer Proceedings in Mathematics and Statistics, 317, 575-592. https://doi.org/10.1007/978-3-030-41850-2_24
Disciplines
Mathematics
Keywords
Lie algebras; Torsion theory (Algebra)
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