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On representations of Fuss–Catalan algebras.
- Source :
-
Journal of Algebra . Feb2019, Vol. 519, p398-423. 26p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper, we study the representation theory of the Fuss–Catalan algebras, FC n (a , b). We prove that this algebra is cellular with a cellular basis and forms a tower of recollement, as defined by Cox, Martin, Parker, and Xi [7] , and hence, it is quasi-hereditary algebra if a , b are non-zero complex numbers. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*MATHEMATICS
*COMPLEX numbers
*NUMBER theory
*MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 519
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 134849350
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2018.10.028