Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories
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| Creator |
Cheng, T.
Huang, H.-L. Yang, Y. |
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| Description |
By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them. Along the same line, Bulacu observed that Clifford algebras are weak Hopf algebras in the aforementioned categories and obtained other interesting properties. The aim of this paper is to study generalized Clifford algebras in a similar manner and extend the results of Albuquerque, Majid and Bulacu to the generalized setting. In particular, by taking full advantage of the gauge transformations in symmetric linear Gr-categories, we derive the decomposition theorem and provide categorical weak Hopf structures for generalized Clifford algebras in a conceptual and simpler manner.
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| Date |
2019-02-14T18:16:56Z
2019-02-14T18:16:56Z 2016 |
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| Type |
Article
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| Identifier |
Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories / T. Cheng, H.-L. Huang, Y. Yang // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 18 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 15A66; 18D10; 16S35 DOI:10.3842/SIGMA.2016.004 http://dspace.nbuv.gov.ua/handle/123456789/147420 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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