Back to Search
Start Over
An observation on highest weight crystals
- Source :
-
Journal of Algebra . Sep2007, Vol. 315 Issue 2, p483-501. 19p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we observe that a certain local property on highest weight crystal graphs forces a more global property. In type A, this statement says that if a node has a single parent and single grandparent, then there is a unique walk from the highest weight node to it. This crystal observation was motivated by certain representation-theoretic behavior of the affine Hecke algebra of type A. In other classical types, there is a similar statement. This walk is obtained from the associated level 1 perfect crystal, . (It is unique unless the Dynkin diagram contains that of as a subdiagram.) [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*ALGEBRA
*MATHEMATICAL analysis
*GRAPHIC methods
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 315
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 26246360
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2007.05.021