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Seminar

Conformal inclusions, Hecke Clifford algebras and Lie super algebras August 08, 2024 (10:00 AM PDT - 11:00 AM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Hans Wenzl (University of California, San Diego)
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Keywords and Mathematics Subject Classification (MSC)
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Conformal inclusions, Hecke Clifford algebras and Lie super algebras

Abstract/Media

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(joint work with Cain Edie-Michell and Noah Snyder)  We consider the conformal inclusion SU(N)_N into SO(N^2-1)_1.  This gives rise to an algebra object A in the fusion tensor category SU(N)_N.  We give a detailed description of the corresponding category of A modules, using a q-version of Sergeev duality between the quantum isomeric Lie super algebras and Hecke Clifford algebras/

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Conformal inclusions, Hecke Clifford algebras and Lie super algebras