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7
votes
Accepted
Degenerate affine Hecke Algebra
The degenerate affine Hecke algebra $H(k)$ over a field $F$ is isomorphic (as a vector space) to the tensor product
$$
H(k)=^{\mathrm{v.s.}} FS_k \otimes F[x_1,\ldots,x_k]
$$
where $FS_k$ is the group …
3
votes
What is known about the centraliser of the Hecke algebra in the affine Hecke algebra?
This is not a complete answer, but does give some information.
In addition to having an embedding of the Iwahori-Hecke algebra into the affine Hecke algebra, $\iota:H_n^{\mathrm{fin}}\hookrightarrow …