A Peculiar Property of Exceptional Weyl Groups
by Ksir, Amy E.
Let W be a Weyl group and P ⊂ W, a parabolic subgroup. In this paper, we give the decomposition of the permutation representation Ind
P
W
1 into irreducibles for each exceptional W and maximal parabolic P. We find that there is an ‘extra’ common irreducible component which appears for exceptional groups and not for classical groups. This work is motivated by the study of Prym varieties and integrable systems.
DOI: 10.1023/A:1009946123738
Print publication date: 9/1/1999
View article on SpringerLink
