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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oai:animorepository.dlsu.edu.ph:faculty_research-35652021-10-18T02:09:46Z An extension of a q-deformed Heisenberg algebra and its lie polynomials Cantuba, Rafael Reno S. Merciales, Mark Anthony C. 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 2020-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/2566 Faculty Research Work Animo Repository Quantum theory Lie algebras Mathematics |
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Asia |
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Philippines Philippines |
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Quantum theory Lie algebras Mathematics |
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Quantum theory Lie algebras Mathematics Cantuba, Rafael Reno S. Merciales, Mark Anthony C. An extension of a q-deformed Heisenberg algebra and its lie polynomials |
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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 |
| format |
text |
| author |
Cantuba, Rafael Reno S. Merciales, Mark Anthony C. |
| author_facet |
Cantuba, Rafael Reno S. Merciales, Mark Anthony C. |
| author_sort |
Cantuba, Rafael Reno S. |
| title |
An extension of a q-deformed Heisenberg algebra and its lie polynomials |
| title_short |
An extension of a q-deformed Heisenberg algebra and its lie polynomials |
| title_full |
An extension of a q-deformed Heisenberg algebra and its lie polynomials |
| title_fullStr |
An extension of a q-deformed Heisenberg algebra and its lie polynomials |
| title_full_unstemmed |
An extension of a q-deformed Heisenberg algebra and its lie polynomials |
| title_sort |
extension of a q-deformed heisenberg algebra and its lie polynomials |
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Animo Repository |
| publishDate |
2020 |
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https://animorepository.dlsu.edu.ph/faculty_research/2566 |
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1715215505592156160 |