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8 papers · 2 filters
Higher rank classical analogs of the Askey-Wilson algebra from the Onsager algebra
Pascal Baseilhac, Nicolas Crampe, Rodrigo A. Pimenta
The -Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the -Onsager algebra is given, its current algebra and commu…
New symmetries of -invariant Bethe vectors
A. Liashyk, S. Z. Pakuliak, E. Ragoucy +1
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. We study two types of Bethe vectors. The…
The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type
Pascal Baseilhac, Satoshi Tsujimoto, Luc Vinet +1
The Heun-Askey-Wilson algebra is introduced through generators $\{\boX,\boW\}$ and relations. These relations can be understood as an extension of the usual Askey-Wilson ones. A ce…
Irregular conformal blocks and connection formulae for Painlevé V functions
O. Lisovyy, H. Nagoya, J. Roussillon
We prove a Fredholm determinant and short-distance series representation of the Painlevé V tau function associated to generic monodromy data. Using a relation of to t…
FRT presentation of classical Askey-Wilson algebras
Pascal Baseilhac, Nicolas Crampe
Automorphisms of the infinite dimensional Onsager algebra are introduced. Certain quotients of the Onsager algebra are formulated using a polynomial in these automorphisms. In the…
On solutions of the Fuji-Suzuki-Tsuda system
Pavlo Gavrylenko, Nikolai Iorgov, Oleg Lisovyy
We derive Fredholm determinant and series representation of the tau function of the Fuji-Suzuki-Tsuda system and its multivariate extension, thereby generalizing to higher rank the…