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Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

5 votes
Accepted

Question on geometric invariant theory

I believe this is addressed on page 52, underneath the statement of Iwahori's theorem. He provides an argument for why Iwahori's result can be strengthened to G reductive by considering $G \rightarrow …
Marc Besson's user avatar
9 votes
1 answer
563 views

Geometric interpretations of nil-Hecke ring and affine Hecke algebra

I am interested in two related constructions which give us either the cohomology or the $T \times \mathbb{C}^*$-equivariant $K$-theory of flag varieties. Let $G$ be a semisimple, simply connected alg …
Marc Besson's user avatar
6 votes
1 answer
291 views

Real forms of complex reductive groups

I have a collection of related (to me) questions, which stem from the fact that I feel like I have a bunch of pieces, but not a full clear picture. I'm curious about forms of reductive groups in gener …
Marc Besson's user avatar