scholarly journals A conjecture concerning the q-Onsager algebra

2021 ◽  
pp. 115391
Author(s):  
Paul Terwilliger
Keyword(s):  
Onsager Algebra

scholarly journals Theq-Onsager algebra and multivariableq-special functions

2017 ◽  
Vol 50 (39) ◽  
pp. 395201 ◽  
Author(s):  
Pascal Baseilhac ◽  
Luc Vinet ◽  
Alexei Zhedanov
Keyword(s):  
Special Functions ◽  
Onsager Algebra

scholarly journals Conjectures on hidden Onsager algebra symmetries in interacting quantum lattice models

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Yuan Miao
Keyword(s):  
Lattice Models ◽  
Transfer Matrices ◽  
Xxz Model ◽  
Fusion Procedure ◽  
Root Of Unity ◽  
Integrable Lattice ◽  
Onsager Algebra ◽  
Cyclic Transfer ◽  
Integrable Lattice Models ◽  
Matrix Fusion

We conjecture the existence of hidden Onsager algebra symmetries in two interacting quantum integrable lattice models, i.e. spin-1/2 XXZ model and spin-1 Zamolodchikov-Fateev model at arbitrary root of unity values of the anisotropy. The conjectures relate the Onsager generators to the conserved charges obtained from semi-cyclic transfer matrices. The conjectures are motivated by two examples which are spin-1/2 XX model and spin-1 U(1)-invariant clock model. A novel construction of the semi-cyclic transfer matrices of spin-1 Zamolodchikov-Fateev model at arbitrary root of unity values of the anisotropy is carried out via the transfer matrix fusion procedure.

scholarly journals The Lusztig automorphism of the q-Onsager algebra

2018 ◽  
Vol 506 ◽  
pp. 56-75 ◽  
Author(s):  
Paul Terwilliger
Keyword(s):  
Onsager Algebra

scholarly journals The structure of quotients of the Onsager algebra by closed ideals *

2000 ◽  
Vol 33 (16) ◽  
pp. 3275-3296 ◽  
Author(s):  
Etsuro Date ◽  
Shi-shyr Roan
Keyword(s):  
Onsager Algebra
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