Application to the representation theory of symmetric and alternating groups

1971 ◽  
pp. 114-181
Author(s):  
Adalbert Kerber
Keyword(s):  
Representation Theory ◽  
Alternating Groups

Weight Theory for Alternating Groups

2008 ◽  
Vol 15 (03) ◽  
pp. 391-404 ◽  
Author(s):  
Oliver Ruff
Keyword(s):  
Representation Theory ◽  
Symmetric Groups ◽  
Alternating Groups ◽  
Simple Modules ◽  
Ordinary Representation

We use techniques of Okounkov and Vershik to study the ordinary representation theory of the alternating groups without relying on the classical results for the symmetric groups. We classify and construct the simple modules, and study their branching properties.

Induced Representations and Alternating Groups

1964 ◽  
Vol 16 ◽  
pp. 587-601 ◽  
Author(s):  
B. M. Puttaswamaiah ◽  
G. de B. ROBINSON
Keyword(s):  
Representation Theory ◽  
Symmetric Group ◽  
Alternating Group ◽  
Alternating Groups ◽  
Induced Representations ◽  
University Of Toronto ◽  
Group A ◽  
The University ◽  
Special Case

This paper is based on part of the thesis of one of the authors (5), submitted at the University of Toronto in 1963. In the first part of the paper a result on induced representations (2, 4, 9) is generalized slightly and a number of corollaries are derived. In the rest of the paper a special case of this result is applied to put the representation theory of the alternating group on a par with that of the symmetric group. A knowledge of the representation theory of Sn (7) on the part of the reader is assumed.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

On the Positivity of $\mathbf{{a}}$-Linear with Random Finitely

2020 ◽  
Author(s):  
Amanda Bolton
Keyword(s):  
Representation Theory ◽  
Central Problem ◽  
Numerical Representation

Let $\rho$ be an ultra-unique, reducible topos equipped with a minimal homeomorphism. We wish to extend the results of \cite{cite:0} to trivially Cartan classes. We show that $d$ is comparable to $\mathcal{{M}}$. This leaves open the question of uniqueness. Moreover, a central problem in numerical representation theory is the description of irreducible, orthogonal, hyper-unique graphs.

Sign in / Sign up

Export Citation Format

Share Document