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A New Descent Algebra of Weyl Groups of Type An

Commutative Algebra 2014-04-21 v1 Representation Theory

Abstract

In this paper we define an equivalence relation on the set of all xJx_{J} in order to form a basis for a new descent algebra of Weyl groups of type AnA_{n}. By means of this, we construct a new commutative and semi-simple descent algebra of Weyl groups of type AnA_{n} generated by equivalence classes arising from this equivalence relation.

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Cite

@article{arxiv.1404.4750,
  title  = {A New Descent Algebra of Weyl Groups of Type An},
  author = {Tulay Yagmur and Himmet Can},
  journal= {arXiv preprint arXiv:1404.4750},
  year   = {2014}
}

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10 pages