30 citations · 377 across the 33 of their papers we have counts for
6 papers · 1 filter
Twisted Yangians of types BI, CI, DI and Drinfeld type current relations
Vidas Regelskis
We study twisted Yangians associated with the split symmetric pairs of types BI, CI and DI. We introduce a new presentation of these algebras, which we call the transposed presenta…
Quasitriangular coideal subalgebras of in terms of generalized Satake diagrams
Vidas Regelskis, Bart Vlaar
Let be a finite-dimensional semisimple complex Lie algebra and an involutive automorphism of . According to G. Letzter, S. Kolb and M. Balagović th…
Representations of twisted Yangians of types B, C, D: I
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We initiate a theory of highest weight representations for twisted Yangians of types B, C, D and we classify the finite-dimensional irreducible representations of twisted Yangians…
Twisted Yangians of small rank
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small. We…
Twisted Yangians for symmetric pairs of types B, C, D
Nicolas Guay, Vidas Regelskis
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 r…
Drinfeld J Presentation of Twisted Yangians
Samuel Belliard, Vidas Regelskis
We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twiste…