Question

The $SL_{2}(\mathbb{Z})$ double coset of diagonal matrix

score 45 · Answer 1 · 2026-03-25 04:40:28

45

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The $SL_{2}(\mathbb{Z})$ double coset of diagonal matrix

Published on 25 Mar 2026 - 4:40

score 293 · Answer 2 · 2026-03-25 04:41:03

293

Views

1-dim representations of the affine Hecke algebra for $G = \text{SL}_2$

Published on 25 Mar 2026 - 4:41

score 288 · Answer 3 · 2026-03-25 04:42:38

288

Views

Is there a synthetic definition of the $0$-Hecke monoid of $S_n$?

Published on 25 Mar 2026 - 4:42

score 233 · Answer 4 · 2026-03-31 08:14:14

233

Views

Archimedean Hecke Algebra of $\operatorname{GL}_1(F)$ for $F = \mathbb{R}$ or $\mathbb{C}$

Published on 31 Mar 2026 - 8:14

score 348 · Answer 5 · 2026-04-09 19:49:22

348

Views

Degenerations of affine Hecke algebras

Published on 09 Apr 2026 - 19:49

score 105 · Answer 6 · 2016-05-22 22:23:27

105

Views

If $M$ is a simple $R$-module, and an $F$-space, why does $End_F(M)\cong M^{\oplus\dim_F(M)}$?

Published on 22 May 2016 - 22:23

score 163 · Answer 7 · 2026-03-27 20:46:09

163

Views

Why is $e_HKGe_H$ isomorphic to the algebra of functions $G\to K$ constant on $(H,H)$-double cosets?

Published on 27 Mar 2026 - 20:46

score 93 · Answer 8 · 2026-04-26 12:07:38

93

Views

Why is the index map on the Hecke algebra $\mathcal{H}(G,H,1_H)$ an algebra homomorphism?

Published on 26 Apr 2026 - 12:07

score 71 · Answer 9 · 2026-04-25 20:28:25

71

Views

Finite group with $BN$-pair, if $s_i$ and $s_j$ are conjugate in $W$, why do they have the same index parameter?

Published on 25 Apr 2026 - 20:28

score 254 · Answer 10 · 2026-04-01 00:59:44

254

Views

Hecke operators acting on the Jacobian $J(X_1(N))$

Published on 01 Apr 2026 - 0:59

score 182 · Answer 11 · 2026-03-25 04:43:43

182

Views

Isomorphism of Hecke algebra $H(G_1 \times G_2)$ with $H(G_1) \otimes H(G_2)$

Published on 25 Mar 2026 - 4:43

score 150 · Answer 12 · 2026-03-25 06:00:26

150

Views

Directed system of irreducible modules

Published on 25 Mar 2026 - 6:00

score 70 · Answer 13 · 2026-03-25 04:43:42

70

Views

$H(G') \otimes_{H(G)} V$ and $f^{-1} \mathcal G \otimes_{f^{-1}\mathcal O_Y} \mathcal O_X$, the connection

Published on 25 Mar 2026 - 4:43

score 256 · Answer 14 · 2026-03-25 06:03:19

256

Views

Two definitions of the Jacquet functor: why are they the same?

Published on 25 Mar 2026 - 6:03

score 83 · Answer 15 · 2026-03-25 04:41:42

83

Views

Conventions for Kazhdan Lusztig-polynomials and the form of the KL-conjecture

Published on 25 Mar 2026 - 4:41

List Question

The $SL_{2}(\mathbb{Z})$ double coset of diagonal matrix

1-dim representations of the affine Hecke algebra for $G = \text{SL}_2$

Is there a synthetic definition of the $0$-Hecke monoid of $S_n$?

Archimedean Hecke Algebra of $\operatorname{GL}_1(F)$ for $F = \mathbb{R}$ or $\mathbb{C}$

Degenerations of affine Hecke algebras

If $M$ is a simple $R$-module, and an $F$-space, why does $End_F(M)\cong M^{\oplus\dim_F(M)}$?

Why is $e_HKGe_H$ isomorphic to the algebra of functions $G\to K$ constant on $(H,H)$-double cosets?

Why is the index map on the Hecke algebra $\mathcal{H}(G,H,1_H)$ an algebra homomorphism?

Finite group with $BN$-pair, if $s_i$ and $s_j$ are conjugate in $W$, why do they have the same index parameter?

Hecke operators acting on the Jacobian $J(X_1(N))$

Isomorphism of Hecke algebra $H(G_1 \times G_2)$ with $H(G_1) \otimes H(G_2)$

Directed system of irreducible modules

$H(G') \otimes_{H(G)} V$ and $f^{-1} \mathcal G \otimes_{f^{-1}\mathcal O_Y} \mathcal O_X$, the connection

Two definitions of the Jacquet functor: why are they the same?

Conventions for Kazhdan Lusztig-polynomials and the form of the KL-conjecture

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