University of Birmingham > Talks@bham > Birmingham and Warwick Algebra Seminar > First cohomology of Frobenius kernels and truncated invariants

## First cohomology of Frobenius kernels and truncated invariantsAdd to your list(s) Download to your calendar using vCal - Rudolf Tange
- Thursday 17 January 2019, 15:00-16:00
- Nuffield G13.
If you have a question about this talk, please contact Chris Parker. k be an algebraically closed field of characteristic p > 0 and let G be a connected reductive group over k with Lie algebra g. Consider the rings k[G] and k[g] of regular functions on G and g as G-modules via the conjugation action. They have been studied extensively, for example in Kostant’s 1963 paper. I will discuss the result that, under some mild assumptions, the first restricted cohomology of these modules is zero. After this I will discuss the problem of describing the invariants in a certain finite dimensional quotient of k[gl_n]. This is related to the centre of the restricted enveloping algebra of gl_n. This talk is part of the Birmingham and Warwick Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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