Bethe Equation at q=0, Moebius Inversion Formula, and Weight Multiplicities: II. X_n case
| dc.creator | Kuniba, Atsuo | |
| dc.creator | Nakanishi, Tomoki | |
| dc.date | 2000-08-06 | |
| dc.date | 2001-01-16 | |
| dc.date.accessioned | 2026-07-07T09:40:13Z | |
| dc.date.available | 2026-07-07T09:40:13Z | |
| dc.description | We study a family of power series characterized by a system of recursion relations (Q-system) with a certain convergence property. We show that the coefficients of the series are expressed by the numbers which formally count the off-diagonal solutions of the U_q(X^{(1)}_n) Bethe equation at q=0. The series are conjectured to be the X_n-character of a certain family of irreducible finite-dimensional U_q(X^{(1)}_n) -modules which we call the KR (Kirillov-Reshetikhin) modules. Under the above conjecture, these coefficients give a formula of the weight multiplicities of the tensor products of the KR modules, which is also interpreted as the formal completeness of the XXZ-type Bethe vectors. | |
| dc.description | 32 pages, AMS-LaTeX; Typos corrected. Proof of Proposition 5.10 is simplified | |
| dc.identifier | https://arxiv.org/abs/math/0008047 | |
| dc.identifier | http://arxiv.org/abs/math/0008047 | |
| dc.identifier | J. Algebra 251 (2002) 577-618 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161418 | |
| dc.subject | Quantum Algebra | |
| dc.title | Bethe Equation at q=0, Moebius Inversion Formula, and Weight Multiplicities: II. X_n case | |
| dc.type | text |