1 1 M ay 2 00 7 WEIGHT 2 BLOCKS OF GENERAL LINEAR GROUPS AND MODULAR ALVIS - CURTIS DUALITY
نویسنده
چکیده
We obtain the structure of weight 2 blocks and [2 : 1]-pairs of q-Schur algebras, and compute explicitly the modular Alvis-Curtis duality for weight 2 blocks of finite general linear groups in non-defining characteristic.
منابع مشابه
2 4 O ct 2 00 7 WEIGHT 2 BLOCKS OF GENERAL LINEAR GROUPS AND MODULAR ALVIS - CURTIS DUALITY
We obtain the structure of weight 2 blocks and [2 : 1]-pairs of q-Schur algebras, and compute explicitly the modular Alvis-Curtis duality for weight 2 blocks of finite general linear groups in non-defining characteristic.
متن کاملModular Alvis
We show that for general linear groups GLn(q) as well as for q-Schur algebras the knowledge of the modular Alvis-Curtis duality over fields of characteristic l, l ∤ q, is equivalent to the knowledge of the decomposition numbers.
متن کامل0 M ay 2 00 8 Modular reduction in abstract polytopes
The paper studies modular reduction techniques for abstract regular and chiral polytopes, with two purposes in mind: first, to survey the literature about modular reduction in polytopes; and second, to apply modular reduction, with moduli given by primes in Z[τ ] (with τ the golden ratio), to construct new regular 4-polytopes of hyperbolic types {3, 5, 3} and {5, 3, 5} with automorphism groups ...
متن کاملA ug 2 00 1 CONTINUED FRACTIONS , MODULAR SYMBOLS , AND NON – COMMUTATIVE GEOMETRY
Abstract. Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss–Kuzmin theorem about the distribution of continued fractions, which in particular allows one to take into account some congruence properties of successive convergents. This result has an application to the Mixmaster Universe model in general relativity. We then study some averages involving modular s...
متن کاملInfinite topology of curve complexes and non-Poincaré duality of Teichmüller modular groups
Let S be an orientable surface. Let Diff(S) be the group of all diffeomorphisms of S, and Diff(S) its identity component. Then Mod±S = Diff(S)/Diff (S) is called the extended mapping class group or the extended Teichmüller modular group of S. Let Diff(S) be the subgroup of orientation preserving diffeomorphisms of S. Then Mod(S) = Diff(S)/Diff(S) is called the mapping class group or the Teichmü...
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 2009