Title of article
Quasi-Parabolic Subgroups of G(m, 1, r)
Author/Authors
Chi Kin Mak، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
20
From page
471
To page
490
Abstract
We study the properties of cosets and double cosets of quasi-parabolic subgroups via tableaux. We characterize these double cosets by n × n arrays of non-negative integer sequences. For each double coset, we construct and count all shortest and longest representatives and find their lengths. We also find the number of double cosets in G(m, 1, r) of each pair of quasi-parabolic subgroups.
Keywords
complex reflection group , coset representatives , quasi-parabolic subgroups , double coset representatives , reduced expressions
Journal title
Journal of Algebra
Serial Year
2001
Journal title
Journal of Algebra
Record number
695701
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