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Diagram automorphisms and canonical bases for quantum affine algebras, II.
- Source :
-
Journal of Algebra . Dec2022, Vol. 611, p480-527. 48p. - Publication Year :
- 2022
-
Abstract
- Let U q − be the negative part of the quantum enveloping algebra, and σ the algebra automorphism on U q − induced from a diagram automorphism. Let U _ q − be the quantum algebra obtained from σ , and B ˜ (resp. B _ ˜) the canonical signed basis of U q − (resp. U _ q −). Assume that U q − is simply-laced of finite or affine type. In our previous papers [10] , [11] , we have proved by an elementary method, that there exists a natural bijection B ˜ σ ≃ B _ ˜ in the case where σ is admissible. In this paper, we show that such a bijection exists even if σ is not admissible, possibly except some small rank cases. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*BIJECTIONS
*FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 611
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 159189562
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2022.08.014