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Why is the Nil-Hecke Algebra appearing?

Firstly, in the construction of Schubert polynomials (and hence implicitly in the calculation of the (ordinary or torus equivariant) cohomology of the flag variety). … And secondly, it is equal to the convolution algebra $H^{GL_n}_*(X\times X)$ where $X$ is the variety of complete flags in $\mathbb{C}^n$ and we are taking equivariant Borel-Moore homology. …
Peter McNamara's user avatar
5 votes
3 answers
673 views

Deequivariantisation of indecomposable sheaves

Then for any coefficient field k, there is an equivariant derived category $D^b_G(X;k)$, together with a forgetful functor to $D^b(X;k)$. …
Peter McNamara's user avatar