Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Root Multiplicities of the Indefinite Kac-Moody Algebra HDn(1)

Full text
Author(s):
Misra, Kailash C. [1] ; Wilson, Evan A. [2]
Total Authors: 2
Affiliation:
[1] N Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 - USA
[2] Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 - USA
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 44, n. 4, p. 1599-1614, 2016.
Web of Science Citations: 0
Abstract

In this article, we study the root multiplicities of the indefinite type Kac-Moody algebra-modules and then use the path realization of crystal bases for these modules and Kang's multiplicity formula to find their multiplicities. In particular, we prove that mult(-2(-1)-k) is a polynomial in n of degree k. We observe that Frenkel's conjectured root multiplicity bound holds in this case. (AU)

FAPESP's process: 11/12079-5 - Representations of Kac-Moody Algebras and quantum groups
Grantee:Evan Andrew Wilson
Support Opportunities: Scholarships in Brazil - Post-Doctoral