Coideal algebras from twisted Manin triples

DOI10.1016/j.geomphys.2012.05.008zbMath1245.81059arXiv1202.2312OpenAlexW2067689760MaRDI QIDQ441207

Samuel Belliard, Nicolas Crampé

Publication date: 20 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2312

zbMATH Keywords

deformationManin triplereflection algebrascoidealOnsager algebrastwisted yangians

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

Truncation of the reflection algebra and the Hahn algebra, The Lusztig automorphism of the \(q\)-Onsager algebra, Twisted Yangians for symmetric pairs of types B, C, D, Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism, Integrable approach to simple exclusion processes with boundaries. Review and progress, Equivalences between three presentations of orthogonal and symplectic Yangians, Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type $BC$, Non-abelian symmetries of the half-infinite XXZ spin chain, The \(q\)-Onsager algebra and the positive part of \(U_q(\hat{\mathfrak{sl}}_2)\), Drinfeld J presentation of twisted Yangians, An action of the free product \(\mathbb{Z}_2 \star \mathbb{Z}_2 \star \mathbb{Z}_2\) on the \(q\)-Onsager algebra and its current algebra, FRT presentation of the Onsager algebras, Twisted Yangians of small rank, Gauge theory and boundary integrability, Higher rank classical analogs of the Askey-Wilson algebra from the sl_N Onsager algebra

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