Manchester Algebra Seminar - Miriam Norris
| Dates: | 7 February 2023 |
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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: Miriam Norris - Manchester
Title: On composition factors for tensor products of simple GL(n) representations.
Abstract: Understanding the composition factors of tensor products is an important question in representation theory. The classical Littlewood-Richardson coefficients describe the composition factors of both the tensor products of simple CGLn©-modules and the restriction of simple CGLn©-modules to some Levi subgroup.
Now let F denote an algebraically closed field of characteristic p > 0 and let G:= GLn(F). In this case very little is known about composition factors of tensor products of simple FG-modules. However, it is thought that they may still be related to the composition factors of the restriction of simple FG-modules to some Levi subgroup. In this talk we will discuss a relationship of this kind for tensor products of simple FGLn(F)-modules with the wedge square of the dual natural module and see how this might be used to find composition factors.
Tea and biscuits 12:45 in the foyer
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Frank Adams
Alan Turing Building
Manchester
