The Left Cells Γ With A(Γ)=8 In The Affine Weyl Group (?)₇

Posted on:2012-12-23

Degree:Master

Type:Thesis

Country:China

Candidate:W Xiang

Full Text:PDF

GTID:2120330335967163

Subject:Basic mathematics

Abstract/Summary:

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In this paper, we give a representative set for all the left cellsÎ“in the affine Weyl group (?)7 with a(Î“)= 8 by using Shi'algorithm, and we also draw the corresponding left cells graphs. Then we work out all the distinguished involutions in those left cells.

Keywords/Search Tags:

left cell, a-function, star operation, primitive pair, string, alcove form, distinguished involution

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The Left Cells Γ With A(Γ)=8 In The Affine Weyl Group (?)7

The Left Cells Γ With A(Γ)=8 In The Affine Weyl Group (?)₇