Remarks on Q-oscillators representation of Hopf-type boson algebras
We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra. Moreover we give a characterization of these models i...
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Università degli Studi di Catania
1998-05-01
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Series: | Le Matematiche |
Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/354 |
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doaj-46f93aa8c73f455f975e662968b3271e2020-11-25T03:44:40ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981998-05-015313550330Remarks on Q-oscillators representation of Hopf-type boson algebrasAnna Maria PaolucciIoannis TsohantjisWe present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra. Moreover we give a characterization of these models in terms of these quotients coupled to Euclidean Clifford algebra. A theorem is proved which provides representations of the models, induced from those of a certain type of quotient algebra.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/354 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Anna Maria Paolucci Ioannis Tsohantjis |
spellingShingle |
Anna Maria Paolucci Ioannis Tsohantjis Remarks on Q-oscillators representation of Hopf-type boson algebras Le Matematiche |
author_facet |
Anna Maria Paolucci Ioannis Tsohantjis |
author_sort |
Anna Maria Paolucci |
title |
Remarks on Q-oscillators representation of Hopf-type boson algebras |
title_short |
Remarks on Q-oscillators representation of Hopf-type boson algebras |
title_full |
Remarks on Q-oscillators representation of Hopf-type boson algebras |
title_fullStr |
Remarks on Q-oscillators representation of Hopf-type boson algebras |
title_full_unstemmed |
Remarks on Q-oscillators representation of Hopf-type boson algebras |
title_sort |
remarks on q-oscillators representation of hopf-type boson algebras |
publisher |
Università degli Studi di Catania |
series |
Le Matematiche |
issn |
0373-3505 2037-5298 |
publishDate |
1998-05-01 |
description |
We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra. Moreover we give a characterization of these models in terms of these quotients coupled to Euclidean Clifford algebra. A theorem is proved which provides representations of the models, induced from those of a certain type of quotient algebra.<br /> |
url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/354 |
work_keys_str_mv |
AT annamariapaolucci remarksonqoscillatorsrepresentationofhopftypebosonalgebras AT ioannistsohantjis remarksonqoscillatorsrepresentationofhopftypebosonalgebras |
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1724513411421700096 |