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arXiv · 1407.5247

Twisted Yangians for symmetric pairs of types B, C, D

Nicolas Guay·Vidas Regelskis
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Abstract

We study a class of quantized enveloping algebras, called twisted Yangians, associated with the symmetric pairs of types B, C, D in Cartan's classification. These algebras can be regarded as coideal subalgebras of the extended Yangian for orthogonal or symplectic Lie algebras. They can also be presented as quotients of a reflection algebra by additional symmetry relations. We prove an analogue of the Poincare-Birkoff-Witt Theorem, determine their centres and study also extended reflection algebras.

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BibTeXRIS

Nicolas Guay, Vidas Regelskis. 2016-04-21. Twisted Yangians for symmetric pairs of types B, C, D. https://doi.org/10.1007/s00209-016-1649-2

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