A star-product approach to noncompact quantum groups
Lett.Math.Phys. 33 (1995) 231-240 Using duality and topological theory of well behaved Hopf algebras (as defined in [2]) we construct star-product models of non compact quantum groups from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras of simple Lie algebras. Our star-pro...
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| creator | Bidegain, Frédéric Pinczon, Georges |
| description | Lett.Math.Phys. 33 (1995) 231-240 Using duality and topological theory of well behaved Hopf algebras (as
defined in [2]) we construct star-product models of non compact quantum groups
from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras
of simple Lie algebras. Our star-products act not only on coefficient functions
of finite-dimensional representations, but actually on all $C^\infty$
functions, and they exist even for non linear (semi-simple) Lie groups. |
| doi_str_mv | 10.48550/arxiv.hep-th/9409054 |
| format | Article |
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defined in [2]) we construct star-product models of non compact quantum groups
from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras
of simple Lie algebras. Our star-products act not only on coefficient functions
of finite-dimensional representations, but actually on all $C^\infty$
functions, and they exist even for non linear (semi-simple) Lie groups.</description><identifier>DOI: 10.48550/arxiv.hep-th/9409054</identifier><language>eng</language><subject>Mathematics - Quantum Algebra ; Physics - High Energy Physics - Theory</subject><creationdate>1994-09</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/hep-th/9409054$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1007/BF00749624$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.hep-th/9409054$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bidegain, Frédéric</creatorcontrib><creatorcontrib>Pinczon, Georges</creatorcontrib><title>A star-product approach to noncompact quantum groups</title><description>Lett.Math.Phys. 33 (1995) 231-240 Using duality and topological theory of well behaved Hopf algebras (as
defined in [2]) we construct star-product models of non compact quantum groups
from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras
of simple Lie algebras. Our star-products act not only on coefficient functions
of finite-dimensional representations, but actually on all $C^\infty$
functions, and they exist even for non linear (semi-simple) Lie groups.</description><subject>Mathematics - Quantum Algebra</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA1NNAzsTA1NdBPLKrILNPLSC3QLcnQtzQxsDQwNeFkMHFUKC5JLNItKMpPKU0uUUgsALISkzMUSvIV8vLzkvNzCxKBwoWliXklpbkK6UX5pQXFPAysaYk5xam8UJqbQdnNNcTZQxdsR3xBUWZuYlFlPNCu-JKMeKhdxsSpAgB4QTjf</recordid><startdate>19940910</startdate><enddate>19940910</enddate><creator>Bidegain, Frédéric</creator><creator>Pinczon, Georges</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>19940910</creationdate><title>A star-product approach to noncompact quantum groups</title><author>Bidegain, Frédéric ; Pinczon, Georges</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_hep_th_94090543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Mathematics - Quantum Algebra</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Bidegain, Frédéric</creatorcontrib><creatorcontrib>Pinczon, Georges</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bidegain, Frédéric</au><au>Pinczon, Georges</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A star-product approach to noncompact quantum groups</atitle><date>1994-09-10</date><risdate>1994</risdate><abstract>Lett.Math.Phys. 33 (1995) 231-240 Using duality and topological theory of well behaved Hopf algebras (as
defined in [2]) we construct star-product models of non compact quantum groups
from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras
of simple Lie algebras. Our star-products act not only on coefficient functions
of finite-dimensional representations, but actually on all $C^\infty$
functions, and they exist even for non linear (semi-simple) Lie groups.</abstract><doi>10.48550/arxiv.hep-th/9409054</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Quantum Algebra Physics - High Energy Physics - Theory |
| title | A star-product approach to noncompact quantum groups |
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