On the classification of simple modules for cyclotomic Hecke algebras of type G(m, 1, n) and Kleshchev multipartitions
نویسنده
چکیده
We give a proof of a conjecture that Kleshchev multipartitions are those partitions which parametrize non-zero simple modules obtained as factor modules of Specht modules by their own radicals.
منابع مشابه
2 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 کاملCore blocks of Ariki–Koike algebras II: the weight of a core block
The study of the representation theory of the symmetric groups (and, more recently, the Iwahori–Hecke algebras of type A) has always been inextricably linked with the combinatorics of partitions. More recently, the complex reflection group of type G(r, 1, n) and its Hecke algebras (the Ariki–Koike algebras or cyclotomic Hecke algebras) have been studied, and it is clear that there is a similar ...
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 کاملTHE 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 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999