Manchester Algebra Seminar - Roy Oste
| Dates: | 31 May 2022 |
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| Times: | 13:00 - 14:00 |
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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: Roy Oste - University of Ghent
Title: Supercentralisers for realisations of osp(1|2) and Howe duality
Abstract: In this talk, we consider the orthosymplectic Lie superalgebra osp(1|2). For a realisation of osp(1|2) in a superalgebra, we show that its supercentraliser can be obtained by means of projection operators. We then apply this technique to the context of Howe duality, where we have a realisation of osp(1|2) containing the Dirac operator. Next, we consider deformations, involving a rational Cherednik algebra associated with a real reflection group, that preserve the osp(1|2) realisation and again study its supercentralizer.
- subject to equipment and connection
Tea and biscuits 12:45 in the foyer
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Frank Adams
Alan Turing Building
Manchester
