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Results tagged with hecke-algebras
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user 17644
4
votes
1
answer
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views
Finite-dimensional representations of DAHA
It is shown by Berest-Etingof-Ginzburg that there exist finite-dimensional irreducible representations of rational Cherednik algebra $H_c(S_n)$ of $A_{n-1}$ type if and only if the deformation paramet …
- 2,273
2
votes
0
answers
149
views
Finite-dimensional representations of DAHA of rank 1
DAHA of rank 1 is defined by the relation
$$
(T - t^{1/2})(T + t^{-1/2})=0~, \quad TXT=X^{-1}~, \quad TY^{-1}T=Y~, \quad
Y^{-1}X^{-1}YXT^2q^{1/2}=1
.$$
To understand its representations, it is useful …
- 2,273