Symmetric Polynomials and $U_q(\hat{sl}_2)$
| dc.creator | Jing, Naihuan | |
| dc.date | 1999-02-18 | |
| dc.date | 1999-06-23 | |
| dc.date.accessioned | 2026-07-07T05:27:57Z | |
| dc.date.available | 2026-07-07T05:27:57Z | |
| dc.description | We study the explicit formula of Lusztig's integral forms of the level one quantum affine algebra $U_q(\hat{sl}_2)$ in the endomorphism ring of symmetric functions in infinitely many variables tensored with the group algebra of $\mathbb Z$. Schur functions are realized as certain orthonormal basis vectors in the vertex representation associated to the standard Heisenberg algebra. In this picture the Littlewood-Richardson rule is expressed by integral formulas, and is used to define the action of Lusztig's $\mathbb Z[q, q]$-form of $U_q(\hat{sl}_2)$ on Schur polynomials. | |
| dc.description | Revised version, 17 pages, AMSLaTex | |
| dc.identifier | https://arxiv.org/abs/math/9902109 | |
| dc.identifier | http://arxiv.org/abs/math/9902109 | |
| dc.identifier | Represent. Theory 4 (2000), 46-63. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78123 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.title | Symmetric Polynomials and $U_q(\hat{sl}_2)$ | |
| dc.type | text |