Quantum double of a (locally) compact group
We generalise the quantum double construction of Drinfel'd to the case of the (Hopf) algebra of suitable functions on a compact or locally compact group. We will concentrate on the *-algebra structure of the quantum double. If the conjugacy classes in the group are countably separated, then we...
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| creator | Koornwinder, T. H Muller, N. M |
| description | We generalise the quantum double construction of Drinfel'd to the case of the
(Hopf) algebra of suitable functions on a compact or locally compact group. We
will concentrate on the *-algebra structure of the quantum double. If the
conjugacy classes in the group are countably separated, then we classify the
irreducible *-representations by using the connection with so-called
transformation group algebras. For finite groups, we will compare our
description to the result of Dijkgraaf, Pasquier and Roche. Finally we will
work out the explicit examples of SU(2) and SL(2,R). |
| doi_str_mv | 10.48550/arxiv.q-alg/9605044 |
| format | Article |
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(Hopf) algebra of suitable functions on a compact or locally compact group. We
will concentrate on the *-algebra structure of the quantum double. If the
conjugacy classes in the group are countably separated, then we classify the
irreducible *-representations by using the connection with so-called
transformation group algebras. For finite groups, we will compare our
description to the result of Dijkgraaf, Pasquier and Roche. Finally we will
work out the explicit examples of SU(2) and SL(2,R).</description><identifier>DOI: 10.48550/arxiv.q-alg/9605044</identifier><language>eng</language><subject>Mathematics - Quantum Algebra ; Physics - High Energy Physics - Theory</subject><creationdate>1996-05</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/q-alg/9605044$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.q-alg/9605044$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Koornwinder, T. H</creatorcontrib><creatorcontrib>Muller, N. M</creatorcontrib><title>Quantum double of a (locally) compact group</title><description>We generalise the quantum double construction of Drinfel'd to the case of the
(Hopf) algebra of suitable functions on a compact or locally compact group. We
will concentrate on the *-algebra structure of the quantum double. If the
conjugacy classes in the group are countably separated, then we classify the
irreducible *-representations by using the connection with so-called
transformation group algebras. For finite groups, we will compare our
description to the result of Dijkgraaf, Pasquier and Roche. Finally we will
work out the explicit examples of SU(2) and SL(2,R).</description><subject>Mathematics - Quantum Algebra</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzsFqAjEUheFsXIj2DVyErlrKaGaSeJOlSGsFQcTuh5ubRIRMM45OqW9fsa7O6j98jE1KMVVGazHD7vf4Mz0VmA4zOxdaKDVkb7sevy99w33uXQo8R478JWXClK6vnHLTIl34oct9O2aDiOkcnh47YvuP96_lZ7HZrtbLxaZAkKpw1pUBwWnwsfLKO1NVngzMIVobnbWmBGd1kEoQeAkmEMgKFJV0i0iO2PP_691bt92xwe5an-qbu3645R8zKD6Z</recordid><startdate>19960529</startdate><enddate>19960529</enddate><creator>Koornwinder, T. H</creator><creator>Muller, N. M</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>19960529</creationdate><title>Quantum double of a (locally) compact group</title><author>Koornwinder, T. H ; Muller, N. M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a734-b9b1ea7b57df2d4db822dc8767f99fb99817b95e340c7d378ec73274c1c7b5c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Mathematics - Quantum Algebra</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Koornwinder, T. H</creatorcontrib><creatorcontrib>Muller, N. M</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Koornwinder, T. H</au><au>Muller, N. M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum double of a (locally) compact group</atitle><date>1996-05-29</date><risdate>1996</risdate><abstract>We generalise the quantum double construction of Drinfel'd to the case of the
(Hopf) algebra of suitable functions on a compact or locally compact group. We
will concentrate on the *-algebra structure of the quantum double. If the
conjugacy classes in the group are countably separated, then we classify the
irreducible *-representations by using the connection with so-called
transformation group algebras. For finite groups, we will compare our
description to the result of Dijkgraaf, Pasquier and Roche. Finally we will
work out the explicit examples of SU(2) and SL(2,R).</abstract><doi>10.48550/arxiv.q-alg/9605044</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Quantum Algebra Physics - High Energy Physics - Theory |
| title | Quantum double of a (locally) compact group |
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