Graphic Interpretation of the Structure Constants of the Schur Algebra
Representation Theory
2014-09-05 v1
Abstract
Issai Schur, in his doctoral thesis (1901) introduced the Schur algebra to study the polynomial representation theory of the general linear group. He described a basis of this algebra and structure constants. Later, Miguel Mendez (2001) gave a graph-theoretic description of Schur's basis and computed the structure constants. In this presentation, we will give a new graphic interpretation of the basis of Schur algebra and use it to give a description of the structure constants which is equivalent to the one given by Mendez.
Cite
@article{arxiv.1409.1414,
title = {Graphic Interpretation of the Structure Constants of the Schur Algebra},
author = {T. Geetha and Amritanshu Prasad},
journal= {arXiv preprint arXiv:1409.1414},
year = {2014}
}
Comments
5 pages, appeared in Electronic booklet of Proceedings of International Congress of Women Mathematicians (ICWM 2014). 2014 ICWM Poster Abstract Number: 20140020