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A classification of invertible subsets of affine root systems

โœ Scribed by P. Check; C. Kriloff; D.R. Stephenson


Book ID
104152916
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
650 KB
Volume
131
Category
Article
ISSN
0022-4049

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โœฆ Synopsis


All subsets P of an irreducible affine root system R such that P and R\P arc closed under addition of roots are classified. It is shown that if II: R + R' is a bijection of root systems such that 1) and 0-l preserve closed sets and the irreducible components of R and R' arc afine or finite with at most one irreducible component of type A, then (I is an isomorphism of root systems.


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