Modular representations of the special linear groups with small weight multiplicities

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some Representations of Special Linear Groups

Mat r x ( F q ) o f a l l r b y r m a t r i c e s o v e r F q , b y C t h e g r o u p G L t i ( F q ) o f t h e u n i t s of M, and by S the special linear subgroup SL , (F q ) o f C . F o r a n a r b i t r a r y field F containing F q , l e t U s t a n d f o r t h e ( c o m m u t a t i v e ) p o l y n o m i a l a l g e b r a F[xl, , x r ] , a n d c o n s i d e r U g r a d e d a s u s u a l : U...

متن کامل

THE RATIONAL CHARACTER TABLE OF SPECIAL LINEAR GROUPS

In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).

متن کامل

Some Uniserial Representations of Certain Special Linear Groups

In an earlier paper a construction was given for an infinite-dimensional uniserial module over Q for SL(2,Z) whose composition factors are all isomorphic to the standard (two-dimensional) module. In this note we consider generalizations of this construction to other composition factors and to other rings of algebraic integers.

متن کامل

Multiplicities of representations in spaces of modular forms

This paper shows that for a given irreducible representation ρ of Γ/Γ1, the two functions dim(Mk(Γ1, ρ)) and dim(Sk(Γ1, ρ)) of k are almost linear functions. Let Γ and Γ1 be two Fuchsian subgroups of SL2(Q) of the first kind, with Γ1 a normal subgroup of Γ of index μ. Let H denote the extended upper half-plane [4] and put Y = Γ\H and X = Γ1\H . Let Ak(∗) denotes the space of meromorphic modular...

متن کامل

Modular Representations of Symmetric Groups

Over the last few weeks, we have seen lots of things in representation theory—we began by looking at an onslaught of examples to see explicitly what representations look like, we discussed character theory and looked at character tables, we talked about representations from a module-theoretic perspective, and then we saw how we can model the representation theory of the symmetric group via the ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2014

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2013.08.032