Manchester Algebra Seminar -Compact Schur-Weyl Duality
| Dates: | 19 November 2019 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, Current University students |
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| Speaker: | Kieran Calvert |
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Speaker: Kieran Calvert (University of Manchester)
Title: Compact Schur-Weyl Duality
Abstract: Schur-Weyl duality is a fundamental idea that connects general linear groups and symmetric groups. This duality links the irreducible finite dimensional representations of both objects.
Suzuki and Arakawa furthered this, introducing a functor between Category O and finite dimensional representations of the degenerate affine Hecke algebra.
For symplectic and orthogonal groups, Brauer defined a diagram algebra to be the counterpart of the symmetric group.
In this talk we discuss the extension of Arakawa and Suzuki's ideas to representations of real Lie groups.
We can use these ideas to give a non-unitary test for admissible modules for the symplectic and orthogonal real groups.
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Time: 2pm
Place: FA1
There will be tea and biscuits at 1:40. All are welcome.
Speaker
Kieran Calvert
Organisation: University of Manchester
Travel and Contact Information
Find event
Frank Adams 1 (FA1)
Alan Turing Building
Manchester
