The Number of Simple Modules for the Hecke
نویسندگان
چکیده
We derive a parameterization of simple modules for the cyclotomic Hecke algebras of type G(r, p, n) over field of any characteristic coprime to p. We give explicit formulas for the number of simple modules over these cyclotomic Hecke algebras.
منابع مشابه
THE NUMBER OF SIMPLE MODULES FOR THE HECKE ALGEBRAS OF TYPE G(r, p, n)
We derive a parameterization of simple modules for the cyclotomic Hecke algebras of type G(r, p, n) over field of any (coprime to p) characteristic. We give explicit formulas for the number of simple modules over these cyclotomic Hecke algebras.
متن کامل2 7 Ju n 20 05 Crystal bases and simple modules for Hecke algebras of type G ( p , p , n ) ∗
We apply the crystal bases theory of Fock spaces over quantum affine algebras to the modular representations of the cyclotomic Hecke algebras of type G(p, p, n). This yields classification of simple modules over these cyclotomic Hecke algebras in the non-separated case, generalizing our previous work [J. Hu, J. Algebra 267 (2003) 7-20]. The separated case was completed in [J. Hu, J. Algebra 274...
متن کاملCRYSTAL BASES AND SIMPLE MODULES FOR HECKE ALGEBRAS OF TYPE G(p, p, n)
We apply the crystal basis theory for Fock spaces over quantum affine algebras to the modular representations of the cyclotomic Hecke algebras of type G(p, p, n). This yields a classification of simple modules over these cyclotomic Hecke algebras in the non-separated case, generalizing our previous work [J. Hu, J. Algebra 267 (2003), 7–20]. The separated case was completed in [J. Hu, J. Algebra...
متن کاملJ an 2 00 6 Crystal bases and simple modules for Hecke algebras of type G ( p , p , n ) ∗
We apply the crystal bases theory of Fock spaces over quantum affine algebras to the modular representations of the cyclotomic Hecke algebras of type G(p, p, n). This yields classification of simple modules over these cyclotomic Hecke algebras in the non-separated case, generalizing our previous work [J. Hu, J. Algebra 267 (2003) 7-20]. The separated case was completed in [J. Hu, J. Algebra 274...
متن کامل0 Fe b 20 07 Crystal bases and simple modules for Hecke algebras of type G ( p , p , n ) ∗
We apply the crystal basis theory for Fock spaces over quantum affine algebras to the modular representations of the cyclotomic Hecke algebras of type G(p, p, n). This yields a classification of simple modules over these cyclotomic Hecke algebras in the non-separated case, generalizing our previous work [J. Hu, J. Algebra 267 (2003) 7-20]. The separated case was completed in [J. Hu, J. Algebra ...
متن کامل