Question

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

score 44 · Answer 1 · 2024-03-15 12:38:25

44

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

Published on 15 Mar 2024 - 12:38

score 292 · Answer 2 · 2015-07-22 10:20:31

292

Views

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

Published on 22 Jul 2015 - 10:20

score 287 · Answer 3 · 2015-08-24 13:55:58

287

Views

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

Published on 24 Aug 2015 - 13:55

score 232 · Answer 4 · 2026-03-17 22:51:47

232

Views

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

Published on 17 Mar 2026 - 22:51

score 347 · Answer 5 · 2016-05-15 22:38:53

347

Views

Degenerations of affine Hecke algebras

Published on 15 May 2016 - 22:38

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 161 · Answer 7 · 2017-04-23 07:03:50

161

Views

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

Published on 23 Apr 2017 - 7:03

score 78 · Answer 8 · 2026-03-23 19:24:28

78

Views

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

Published on 23 Mar 2026 - 19:24

score 57 · Answer 9 · 2026-03-19 02:46:21

57

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 19 Mar 2026 - 2:46

score 253 · Answer 10 · 2017-06-16 17:09:29

253

Views

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

Published on 16 Jun 2017 - 17:09

score 181 · Answer 11 · 2017-07-13 21:55:24

181

Views

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

Published on 13 Jul 2017 - 21:55

score 149 · Answer 12 · 2017-07-15 22:23:43

149

Views

Directed system of irreducible modules

Published on 15 Jul 2017 - 22:23

score 69 · Answer 13 · 2017-08-06 13:16:35

69

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 06 Aug 2017 - 13:16

score 255 · Answer 14 · 2017-08-11 21:06:19

255

Views

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

Published on 11 Aug 2017 - 21:06

score 82 · Answer 15 · 2017-09-01 10:27:25

82

Views

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

Published on 01 Sep 2017 - 10:27

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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