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Manchester Algebra Seminar - Roy Oste

Dates:31 May 2022
Times:13:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

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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Kieran Calvert

kieran.calvert@manchester.ac.uk

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