Manchester Algebra Seminar - Roy Oste - Ghent University - Deformations of unitary Howe dual pairs
| Dates: | 8 December 2020 |
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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 - Ghent University
Title: Deformations of unitary Howe dual pairs
Abstract: In this talk, we discuss the deformation of the Howe dual pairs $(\mathrm{U}(n),\mathfrak{u}(1,1))$ and $(\mathrm{U}(n),\mathfrak{u}(2|1))$ to the context of a rational Cherednik algebra $H_{1,c}(G,E)$ associated with a real reflection group $G$ acting on a real vector space $E$ of even dimension. We will focus in detail on the example where $E$ is two-dimensional and $G$ is a dihedral group. Here, we give complete descriptions for the relevant joint-decomposition of the standard module or its tensor product with a spinor space.
Time: 1pm
Place: Zoom
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Alan Turing Building
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