On representations of quantum and classical Kac-Moody algebras
Representations of hyper loop algebras and multi current algebras
Dijana Jakelic | University of Illinois at Chicago - Estados Unidos
| Grant number: | 11/12079-5 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | June 01, 2012 |
| End date: | May 31, 2014 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Vyacheslav Futorny |
| Grantee: | Evan Andrew Wilson |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 10/50347-9 - Algebras, representations e applications, AP.TEM |
Abstract In this project, it is proposed to work on the following problems. 1. To prove a conjecture of polynomial behavior of root multiplicities for the Kac-Moody algebras HA_n^(1), HC_n^(1), and HD_n^(1). 2. To investigate the decomposition of the tensor product of two arbitrary integrable highest weight modules for affine Lie algebras. 3. To investigate the scattering behavior of soliton cellular automata of related quantum affine algebras. (AU) | |
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