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FRT presentation of the Onsager algebras
Pascal Baseilhac, Samuel Belliard, Nicolas Crampe
A presentation à la Faddeev-Reshetikhin-Takhtajan (FRT) of the Onsager, augmented Onsager and sl(2)-invariant Onsager algebras is given, using the framework of the non-standard cla…
Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators
Pascal Baseilhac, Zengo Tsuboi
We consider intertwining relations of the augmented -Onsager algebra introduced by Ito and Terwilliger, and obtain generic (diagonal) boundary -operators in terms of the Cart…
Braid group action and root vectors for the -Onsager algebra
Pascal Baseilhac, Stefan Kolb
We define two algebra automorphisms and of the -Onsager algebra , which provide an analog of G. Lusztig's braid group action for quantum groups. These automorph…
An embedding of the Bannai-Ito algebra in and polynomials
Pascal Baseilhac, Vincent X. Genest, Luc Vinet +1
An embedding of the Bannai-Ito algebra in the universal enveloping algebra of is provided. A connection with the characterization of the little Jacobi po…
An attractive basis for the Onsager algebra
Pascal Baseilhac, Samuel Belliard
Let be the fundamental generators of the Onsager algebra. A linear basis for the Onsager algebra is known as the `zig-zag' basis [IT09]. In this l…