Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials
J.Math.Phys.41:7715-7751,2000 We study the tensor product of principal unitary representations of the quantum Lorentz group, prove a decomposition theorem and compute the associated intertwiners. We show that these intertwiners can be expressed in terms of complex continuations of 6j symbols of U_q(...
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| creator | Buffenoir, E Roche, Ph |
| description | J.Math.Phys.41:7715-7751,2000 We study the tensor product of principal unitary representations of the
quantum Lorentz group, prove a decomposition theorem and compute the associated
intertwiners. We show that these intertwiners can be expressed in terms of
complex continuations of 6j symbols of U_q(su(2)). These intertwiners are
expressed in terms of q-Racah polynomials and Askey-Wilson polynomials. The
orthogonality of these intertwiners imply some relation mixing these two
families of polynomials. The simplest of these relations is the orthogonality
of Askey-Wilson polynomials. |
| doi_str_mv | 10.48550/arxiv.math/9910147 |
| format | Article |
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quantum Lorentz group, prove a decomposition theorem and compute the associated
intertwiners. We show that these intertwiners can be expressed in terms of
complex continuations of 6j symbols of U_q(su(2)). These intertwiners are
expressed in terms of q-Racah polynomials and Askey-Wilson polynomials. The
orthogonality of these intertwiners imply some relation mixing these two
families of polynomials. The simplest of these relations is the orthogonality
of Askey-Wilson polynomials.</description><identifier>DOI: 10.48550/arxiv.math/9910147</identifier><language>eng</language><subject>Mathematics - Quantum Algebra ; Physics - General Relativity and Quantum Cosmology ; Physics - High Energy Physics - Theory</subject><creationdate>1999-10</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math/9910147$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math/9910147$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1063/1.1289828$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Buffenoir, E</creatorcontrib><creatorcontrib>Roche, Ph</creatorcontrib><title>Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials</title><description>J.Math.Phys.41:7715-7751,2000 We study the tensor product of principal unitary representations of the
quantum Lorentz group, prove a decomposition theorem and compute the associated
intertwiners. We show that these intertwiners can be expressed in terms of
complex continuations of 6j symbols of U_q(su(2)). These intertwiners are
expressed in terms of q-Racah polynomials and Askey-Wilson polynomials. The
orthogonality of these intertwiners imply some relation mixing these two
families of polynomials. The simplest of these relations is the orthogonality
of Askey-Wilson polynomials.</description><subject>Mathematics - Quantum Algebra</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNjs0KgkAUhWfTIqonaHN7AP9IKZcR_SxaWBgtZdCRpvRemRkje_om8QFancPhg_MxNg98N1xHke9x9ZYvt-bm7sVx4AfhasweqUBNChJFRZsbDVTaLjGXDa_gitJw1cFFNEpogYYbSdhD55ajaWs4kbL7Bw6K2gY4FrDRT9E5N1lpQkio6pBqySs9ZaPShpgNOWGL_S7dHp3eK2uUrO1X9vPLBr_lP8wXNN1LAw</recordid><startdate>19991027</startdate><enddate>19991027</enddate><creator>Buffenoir, E</creator><creator>Roche, Ph</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>19991027</creationdate><title>Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials</title><author>Buffenoir, E ; Roche, Ph</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_math_99101473</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Mathematics - Quantum Algebra</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Buffenoir, E</creatorcontrib><creatorcontrib>Roche, Ph</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Buffenoir, E</au><au>Roche, Ph</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials</atitle><date>1999-10-27</date><risdate>1999</risdate><abstract>J.Math.Phys.41:7715-7751,2000 We study the tensor product of principal unitary representations of the
quantum Lorentz group, prove a decomposition theorem and compute the associated
intertwiners. We show that these intertwiners can be expressed in terms of
complex continuations of 6j symbols of U_q(su(2)). These intertwiners are
expressed in terms of q-Racah polynomials and Askey-Wilson polynomials. The
orthogonality of these intertwiners imply some relation mixing these two
families of polynomials. The simplest of these relations is the orthogonality
of Askey-Wilson polynomials.</abstract><doi>10.48550/arxiv.math/9910147</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Quantum Algebra Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory |
| title | Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials |
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