Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897643 | Journal of Pure and Applied Algebra | 2018 | 14 Pages |
Abstract
The double Pieri algebra, constructed by Howe, Lee, and the author in [10], [12], encodes information on the decomposition of Pieri type tensor products of irreducible representations for complex classical groups. In this paper we study its finite presentation in terms of generators and relations, and then prove that it admits the structure of a cluster algebra. We also study its sl2-module structure.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sangjib Kim,