Character values and decomposition matrices of symmetric groups

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Character values and decomposition matrices of symmetric groups

The relationships between the values taken by ordinary characters of symmetric groups are exploited to prove two theorems in the modular representation theory of the symmetric group. 1. The decomposition matrices of symmetric groups in odd characteristic have distinct rows. In characteristic 2 the rows of a decomposition matrix labelled by the different partitions λ and μ are equal if and only ...

متن کامل

The 2-modular Decomposition Matrices of the Symmetric Groups

In this paper the 2-modular decomposition matrices of the symmetric groups S15, S16, and S17 are determined by application of methods from computational representation theory, in particular condensation techniques, and by using the computer algebra systems GAP, MOC, and the MeatAxe.

متن کامل

Symmetric Groups and Random Matrices

The convolution of indicators of two conjugacy classes on the symmetric group Sq is usually a complicated linear combination of indicators of many conjugacy classes. Similarly, a product of the moments of the Jucys–Murphy element involves many conjugacy classes with complicated coefficients. In this article we consider a combinatorial setup which allows us to manipulate such products easily and...

متن کامل

Generic Character Sheaves on Disconnected Groups and Character Values

We relate a generic character sheaf on a disconnected reductive group with a character of the rational points of the group over a finite field extending a known result in the connected case.

متن کامل

Regular Character Tables of Symmetric Groups

We generalize a well-known result on the determinant of the character tables of finite symmetric groups. It is a well-known fact that ifXn is the character table of the symmetric group Sn, then the absolute value of the determinant of Xn equals an, which is defined as the product of all parts of all partitions of n. It also equals bn, which is defined as the product of all factorials of all mul...

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: 2008

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2007.11.017