Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10721463 | Nuclear Physics B | 2005 | 15 Pages |
Abstract
The standard generators of tridiagonal algebras, recently introduced by Terwilliger, are shown to generate a new (in)finite family of mutually commuting operators which extends the Dolan-Grady construction. The involution property relies on the tridiagonal algebraic structure associated with a deformation parameter q. Representations are shown to be generated from a class of quadratic algebras, namely, the reflection equations. The spectral problem is briefly discussed. Finally, related massive quantum integrable models are shown to be superintegrable.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Pascal Baseilhac,