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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Main Authors: Anna Maria Paolucci, Ioannis Tsohantjis
Format: Article
Language:English
Published: Università degli Studi di Catania 1998-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/354
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spelling 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
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