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![]() Globally reductive groupsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact David Craven. A linear algebraic group G is called ‘linearly reductive’ if, given any G-module V, and any fixed point v in VG, we can find an invariant linear function f in V*G such that f(v) is not zero. It is called ‘geometrically reductive’ if this condition holds when we allow f to be instead a polynomial invariant of arbitrary finite degree. Note that the maximum degree d required may depend on the choice of V in general. One might reasonably say a group is ‘globally reductive’ if there is a finite number d which works for any G-module V. This condition lies between the two notions of reductivity. It is straightforward to show that any group whose identity component is linearly reductive is globally reductive; we will report on progress towards proving that these are the only globally reductive groups. Joint work with Martin Kohls (TU Munich). 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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