About: Special Isogenies and Tensor Product Multiplicities

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/oup/periodical/imrn/2007/volume_2007/issue_2007/w
Subject	Research Articles
Title	Special Isogenies and Tensor Product Multiplicities
has manifestation of work	http://hub.abes.fr/oup/periodical/imrn/2007/volume_2007/issue_2007/101093imrnrnm081/m/print http://hub.abes.fr/oup/periodical/imrn/2007/volume_2007/issue_2007/101093imrnrnm081/m/web
related by	http://hub.abes.fr/oup/periodical/imrn/2007/volume_2007/issue_2007/101093imrnrnm081/authorship/1 http://hub.abes.fr/oup/periodical/imrn/2007/volume_2007/issue_2007/101093imrnrnm081/authorship/2
Author	Stembridge John R. Kumar Shrawan
Abstract	We show that any bijection between two root systems that preserves angles (but not necessarily lengths) gives rise to inequalities relating tensor product multiplicities for the corresponding complex semisimple Lie groups (or Lie algebras). We explain the inequalities in two ways: combinatorially, using Littelmann's Path Model, and geometrically, using isogenies between algebraic groups defined over an algebraically closed field of positive characteristic.
article type	research-article
publisher identifier	imrn
is part of this journal	imrn

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