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Equivariant (co)homology of flag manifolds, convolution algebra and nil hecke algebra?
For a complex reductive group $G$ and its Borel subgroup $B$, it seems to be well-known that the equivariant homology group $H^G_*(G/B\times G/B)$ forms a nil-Heck algebra
$$NH=\Bbbk[y_i,\partial_{j}] …
3
votes
Equivariant (co)homology of flag manifolds, convolution algebra and nil hecke algebra?
I did more computation recently, and I got what I desired.
Firstly, to be exact, it should be the cohomology group rather than homology group, and presentation in the question is wrong, it should be
$ …