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M. Geck and J. Michel, Good elements in finite Coxeter groups and representations of Iwahori-Hecke algebras, Proc. London Math. Soc. (3) 74 (1997), 275--305.

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Representations of Hecke algebras and finite groups of Lie.. - Dipper, Geck, Hiss, Malle (1998)   Self-citation (Geck)   (Correct)

.... generalizations were proved for types Bn and Dn (see [67] and [108] 109] The tables for the exceptional types F 4 , E 6 and E 7 were computed in [47] and [48] using CHEVIE [52] and GAP [114] The last remaining and biggest table, namely that of type E 8 , was determined in Geck Michel [57], again using CHEVIE and GAP. 19 The main tool for the computation of character tables of Iwahori Hecke algebras of exceptional type is a general result about the eigenvalues of the basis elements Tw in the irreducible representations of HK : Theorem 3.6. Geck Michel [57] Let ae: HK K ....

....in Geck Michel [57] again using CHEVIE and GAP. 19 The main tool for the computation of character tables of Iwahori Hecke algebras of exceptional type is a general result about the eigenvalues of the basis elements Tw in the irreducible representations of HK : Theorem 3.6. Geck Michel [57]) Let ae: HK K d Thetad be an irreducible matrix representation and w 2 W be an element which has minimal length in its conjugacy class. Then the eigenvalues of ae(T w ) are of the form s2S fs s where i is a root of unity and f s 2 Q for all s 2 S: Although Theorems 3.4 and 3.6 are ....

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M. Geck and J. Michel, Good elements in finite Coxeter groups and representations of Iwahori-Hecke algebras, Proc. London Math. Soc. (3) 74 (1997), 275--305.


Descent Functions and Random Young Tableaux - Adin, Roichman (2000)   (Correct)

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M. Geck and J. Michel, `Good' elements of finite Coxeter groups and representations of Iwahori-Hecke algebras, Proc. London Math. Soc. 74 (1997), 275--305.


On Permutation Statistics and Hecke Algebra Characters - Roichman (1999)   (Correct)

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M. Geck and J. Michel, 'Good' elements of finite Coxeter groups and representations of Iwahori-Hecke algebras, Proc. London Math. Soc. 74 (1997), 275--305.

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