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Results tagged with hecke-algebras
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user 11877
7
votes
1
answer
181
views
How to translate multi-segments to Drinfeld polynomials?
Let $\hat{H}_m=\hat{H}_m(q)$ be the Iwahori-Hecke algebra of $GL_m$, see for example, Section 2. The simple $\hat{H}_m$-modules are parametrized by Zelevinsky's multi-segments, See Section 2.2 of the …
- 6,201
3
votes
0
answers
228
views
Quantum Schur-Weyl duality for quantum affine algebras of other types
In the paper by Chari and Pressley, it is proved that the there is functor from the category $C_m$ of finite dimensional representations of the affine Hecke algebra of $GL(m)$ to the category $D_n$ of …
- 6,201
1
vote
How to translate multi-segments to Drinfeld polynomials?
This is described in equation (5.2) in the paper which follows from the paper: Quantum affine algebras and affine Hecke algebras.
- 6,201
1
vote
0
answers
127
views
References of an operator $T: V \otimes V \to V \otimes V$
Let $V$ be a vector space with a basis $v_1, \ldots, v_n$ and let $X_{ij} = v_i \otimes v_j$. Then $X_{ij}, i,j=1,\ldots, n$, is a basis of $V \otimes V$. Let $T: V \otimes V \to V \otimes V$ be the l …
- 6,201