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Non-associative Frobenius algebras for simply laced Chevalley groups.
- Source :
-
Transactions of the American Mathematical Society . Dec2021, Vol. 374 Issue 12, p8715-8774. 60p. - Publication Year :
- 2021
-
Abstract
- We provide an explicit construction for a class of commutative, non-associative algebras for each of the simple Chevalley groups of simply laced type. Moreover, we equip these algebras with an associating bilinear form, which turns them into Frobenius algebras. This class includes a 3876-dimensional algebra on which the Chevalley group of type E8 acts by automorphisms. We also prove that these algebras admit the structure of (axial) decomposition algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 374
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 153472036
- Full Text :
- https://doi.org/10.1090/tran/8484