A New Descent Algebra for Standard Parabolic Subgroups of \(W(A_n)\)

A new descent algebra \(\sum_{W}(A_{n})\) of Weyl groups of type \(A_n\), constructed by present authors in [1], is generated by equivalence classes \([x_J]\) arising from the equivalence relation defined on the set of all \(x_J\). In this paper, we introduce the structure of this new descent algebr...

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Yağmur, Tülay, Can, Himmet
Format: Article
Language:English
Subjects:
Algebra
Descent
Equivalence
Subgroups
Online Access:Get full text
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Summary:A new descent algebra \(\sum_{W}(A_{n})\) of Weyl groups of type \(A_n\), constructed by present authors in [1], is generated by equivalence classes \([x_J]\) arising from the equivalence relation defined on the set of all \(x_J\). In this paper, we introduce the structure of this new descent algebra for standard parabolic subgroups \(W_J\) of Weyl groups of type \(A_n\).
ISSN:2331-8422