Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
A presentation of the double Pieri algebra
- Authors
- Kim, Sangjib
- Issue Date
- 2월-2018
- Publisher
- ELSEVIER SCIENCE BV
- Citation
- JOURNAL OF PURE AND APPLIED ALGEBRA, v.222, no.2, pp.368 - 381
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF PURE AND APPLIED ALGEBRA
- Volume
- 222
- Number
- 2
- Start Page
- 368
- End Page
- 381
- ISSN
- 0022-4049
- 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 sl(2)-module structure. (C) 2017 Elsevier B.V. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.