An extension of a q-deformed Heisenberg algebra and its lie polynomials
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 a...
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| Main Authors: | , |
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| Format: | text |
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Animo Repository
2020
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| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/2566 |
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| Institution: | De La Salle University |
| Summary: | 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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