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Showing 2006 · math-phShow all
3 papers · 2 filters
math-ph2006★ 73 cited
The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
Pascal Baseilhac
The spectral properties of operators formed from generators of the q-Onsager non-Abelian infinite dimensional algebra are investigated. Using a suitable functional representation,…
math-ph2006★ 33 cited
A family of tridiagonal pairs and related symmetric functions
Pascal Baseilhac
A family of tridiagonal pairs which appear in the context of quantum integrable systems is studied in details. The corresponding eigenvalue sequences, eigenspaces and the block tri…
math-ph2006★ 6 cited
Structure of the space of ground states in systems with non-amenable symmetries
M. Niedermaier, E. Seiler
We investigate classical spin systems in dimensions whose transfer operator commutes with the action of a nonamenable unitary representation of a symmetry group, here ${\…