arXiv Analytics

Sign in

arXiv:math/0507610 [math.RT]AbstractReferencesReviewsResources

The $\hat W$-orbit of $ρ$, Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Z

Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi

Published 2005-07-29, updated 2006-04-08Version 2

Let an affine Weyl group $\hat W$ act as a group of affine transformations on a real vector space V. We analyze the $\hat W$-orbit of a regular element in V and deduce applications to Kostant's formula for powers of the Euler product and to the representations of $\hat W$ as permutations of the integers.

Comments: Latex, 27 pages, minor corrections, to appear in Journal of Pure and Applied Algebra
Journal: J. Pure Appl. Algebra 208 (2007), no. 3, 1103--1119.
Categories: math.RT, math.CO
Related articles: Most relevant | Search more
arXiv:1803.03017 [math.RT] (Published 2018-03-08)
Infinite Reduced Words, Lattice Property And Braid Graph of Affine Weyl Groups
arXiv:math/0311347 [math.RT] (Published 2003-11-20)
Ideals of Heisenberg type and minimax elements of affine Weyl groups
arXiv:0810.4600 [math.RT] (Published 2008-10-25)
Ad-nilpotent Ideals and Equivalence Relations

Links

Toolbox