University of Birmingham > Talks@bham > Algebra seminar > Minimum eigenspace codimension in irreducible representations of simple classical linear algebraic groups

## Minimum eigenspace codimension in irreducible representations of simple classical linear algebraic groupsAdd to your list(s) Download to your calendar using vCal - Ana M. Retegan (University of Birmingham)
- Wednesday 09 November 2022, 15:00-16:00
- Lecture Theatre C, Watson Building.
If you have a question about this talk, please contact Matthew Westaway. Let k^{∗} of g ∈ G on V and define
V)=min{dim(V) − dim(V(μ)) | g ∈ G \ Z(G), μ ∈ k_{g}^{∗}}to be the minimum eigenspace codimension on V) for G of type A, _{l}l ≥ 16 and dim(V) ≤l^{3}/2; for G of type B, _{l}C, _{l}l ≥ 14 and dim(V) ≤ 4l^{3}; and for G of type D, _{l}l ≥ 16 and dim(V) ≤ 4l^{3}. Moreover, for the groups of smaller rank and their corresponding irreducible modules with dimension satisfying the above bounds, we determine lower bounds for ν(_{G}V).This talk is part of the Algebra seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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