| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9493584 | Journal of Algebra | 2005 | 43 Pages |
Abstract
Hatayama et al. conjectured fermionic formulas associated with tensor products of Uqâ²(g)-crystals Br,s. The crystals Br,s correspond to the Kirillov-Reshetikhin modules which are certain finite-dimensional Uqâ²(g)-modules. In this paper we present a combinatorial description of the affine crystals Br,1 of type Dn(1). A statistic preserving bijection between crystal paths for these crystals and rigged configurations is given, thereby proving the fermionic formula in this case. This bijection reflects two different methods to solve lattice models in statistical mechanics: the corner-transfer-matrix method and the Bethe Ansatz.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anne Schilling,