Left Cells with a-Value 4 in the Affine Weyl Groups (i = 6, 7, 8)

摘要

The aim of the present article is to describe all the left cells of a-value 4 in the affine Weyl groups . We find a representative set of those left cells which occur as the vertex set of the corresponding left cell graphs by applying Shi's algorithm. Then we find all the distinguished involutions in those left cells. We show that those left cells are left-connected, verifying a conjecture of Lusztig in our case.View full textDownload full textKey WordsAffine Weyl groups, Distinguished involutions, Left cells, Left-connectedness2000 Mathematics Subject ClassificationPrimary 20F55, Secondary 20H15Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802107181