T. Geetha, Amritanshu Prasad
Published 2014-09-04Version 1
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.
Comments: 5 pages, appeared in Electronic booklet of Proceedings of International Congress of Women Mathematicians (ICWM 2014). 2014 ICWM Poster Abstract Number: 20140020
Modular reduction of the Steinberg lattice of the general linear group
Corrigendum to "On the equivariant $K$-theory of the nilpotent cone in the general linear group," published in Represent. Theory 8 (2004)
Principal series for general linear groups over finite commutative rings
![QR code for arXiv:1409.1414 [math.RT]](http://oss.arxitics.com/images/favicon.svg)