✦ LIBER ✦

Some Identities and Asymptotics for Characters of the Symmetric Group

✍ Scribed by A Klyachko; E Kurtaran

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 224 KB
Volume: 206
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7443

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Characters of two-row representations of

Characters of two-row representations of the symmetric group

✍ Brian G. Wybourne; Norbert Flocke; Jacek Karwowski 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB 👁 1 views

Characters of irreducible representations irreps of the symmetric group corresponding to the two-row Young diagrams, i.e., describing transformation properties of N-electron eigenfunctions of the total spin operators, have been expressed as explicit functions of the number of electrons N and of the

The Structure of Some Permutation Module

The Structure of Some Permutation Modules for the Symmetric Group of Infinite Degree

✍ Darren G.D. Gray 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 301 KB

Suppose that ⍀ is an infinite set and k is a natural number. Let ⍀ denote the set of all k-subsets of ⍀ and let F be a field. In this paper we study the Ž . w x k FSym ⍀ -submodule structure of the permutation module F ⍀ . Using the representation theory of finite symmetric groups, we show that ever

Some Simple Projective Brauer Quotients

Some Simple Projective Brauer Quotients of Simple Modules for the Symmetric Groups in Characteristic Two

✍ Luis Valero-Elizondo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 159 KB

2᎐22 the number of simple kS -modules equals the number of weights for S , n n where S is the symmetric group on n symbols and k is a field of characteristic n p ) 0. In this paper we answer the question, ''When is the Brauer quotient of a simple F S -module V with respect to a subgroup H of S both

The Derived Categories of Some Blocks of

The Derived Categories of Some Blocks of Symmetric Groups and a Conjecture of Broué

✍ Joseph Chuang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 282 KB

A well-known conjecture of Broue in the representation theory of finite groups ínvolves equivalences of derived categories of blocks. The aim of this paper is to verify this conjecture for defect 2 blocks of symmetric groups. Actually we prove for these blocks a refinement of Broue's conjecture due

Characters for symmetric and antisymmetr

Characters for symmetric and antisymmetric higher powers of representations: Application to the number of anharmonic force constants in symmetrical molecules

✍ Xue-Feng Zhou; Peter Pulay 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 375 KB

Explicit formulas are given for the characters of symmetric and antisymmetric powers of an arbitrary representation up to the sixth, and a general method for obtaining the higher ones is described. The results allow, among others, the determination of nonvanishing higher force constants in symmetric

Pseudocharacters and the Problem of Expr

Pseudocharacters and the Problem of Expressibility for Some Groups

✍ Valeriĭ A. Faĭziev; Prasanna K. Sahoo 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 247 KB

For a class of extensions of free products of groups, a description is given of the space of the real-valued functions ϕ defined on the group G and satisfying the conditions (1) the set ϕ xy -ϕ x -ϕ y x y ∈ G is bounded; and (2) ϕ x n = nϕ x for any x ∈ G and any n ∈ (the set of integers). Let G be