Torsion-type q-deformed Heisenberg algebra and its lie polynomials
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | text |
| Published: |
Animo Repository
2020
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/2849 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| id |
oai:animorepository.dlsu.edu.ph:faculty_research-3848 |
|---|---|
| record_format |
eprints |
| spelling |
oai:animorepository.dlsu.edu.ph:faculty_research-38482023-10-28T07:35:39Z Torsion-type q-deformed Heisenberg algebra and its lie polynomials Cantuba, Rafael Reno S. Silvestrov, Sergei 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. 2020-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/2849 info:doi/10.1007/978-3-030-41850-2_24 Faculty Research Work Animo Repository Lie algebras Torsion theory (Algebra) Mathematics |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| topic |
Lie algebras Torsion theory (Algebra) Mathematics |
| spellingShingle |
Lie algebras Torsion theory (Algebra) Mathematics Cantuba, Rafael Reno S. Silvestrov, Sergei Torsion-type q-deformed Heisenberg algebra and its lie polynomials |
| description |
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. |
| format |
text |
| author |
Cantuba, Rafael Reno S. Silvestrov, Sergei |
| author_facet |
Cantuba, Rafael Reno S. Silvestrov, Sergei |
| author_sort |
Cantuba, Rafael Reno S. |
| title |
Torsion-type q-deformed Heisenberg algebra and its lie polynomials |
| title_short |
Torsion-type q-deformed Heisenberg algebra and its lie polynomials |
| title_full |
Torsion-type q-deformed Heisenberg algebra and its lie polynomials |
| title_fullStr |
Torsion-type q-deformed Heisenberg algebra and its lie polynomials |
| title_full_unstemmed |
Torsion-type q-deformed Heisenberg algebra and its lie polynomials |
| title_sort |
torsion-type q-deformed heisenberg algebra and its lie polynomials |
| publisher |
Animo Repository |
| publishDate |
2020 |
| url |
https://animorepository.dlsu.edu.ph/faculty_research/2849 |
| _version_ |
1781418237344350208 |