Publication Date
2001
Abstract
Mirkovi and Vilonen discovered a canonical basis of algebraic cycles for the intersection homology of (the closures of the strata of) the loop Grassmannian. The moment map images of these varieties are a collection of polytopes, and they may be used to compute weight multiplicities and tensor product multiplicities for representations of a semisimple group. The polytopes are explicitly described for a few low rank groups.
Recommended Citation
Anderson, Jared E., "A Polytope Combinatorics for Semisimple Groups" (2001). Mathematics and Statistics Department Faculty Publication Series. 15.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/15
Comments
This paper was harvested from ArXiv.org and ArXiv identifier is arXiv:0110225v1