Hopf down–up algebras
✍ Scribed by Ellen E. Kirkman; Ian M. Musson
- Book ID
- 104140570
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 124 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The algebra generated by the down and up operators on a differential or Ž . uniform partially ordered set poset encodes essential enumerative and structural properties of the poset. Motivated by the algebras generated by the down and up operators on posets, we introduce here a family of infinite-dim
Down᎐up algebras which originated in the study of differential posets were recently defined and studied by Benkart and Roby. Benkart posed an open problem in her paper: to determine the centers of all down᎐up algebras. Here in this paper we completely solve this problem. As an application we also ge