V. Regelskis

activity

20102026

most citedEquivalences between three presentations of orthogonal and symplectic Yangians

30 citations · 377 across the 33 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.QA2018★ 14 cited

Quasitriangular coideal subalgebras of $U_{q} (g)$ in terms of generalized Satake diagrams

Vidas Regelskis, Bart Vlaar

Let $g$ be a finite-dimensional semisimple complex Lie algebra and $θ$ an involutive automorphism of $g$ . According to G. Letzter, S. Kolb and M. Balagović th…

math.RT2018★ 10 cited

Vertex Representations for Yangians of Kac-Moody algebras

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the PBW property for simply laced af…

math-ph2018★ 7 cited

Solutions of the $U_{q} (sl_{N})$ reflection equations

Vidas Regelskis, Bart Vlaar

We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type $A_{N - 1}^{(1)}$ . We also show t…

Quasitriangular coideal subalgebras of Uq​(g) in terms of generalized Satake diagrams

Vertex Representations for Yangians of Kac-Moody algebras

Solutions of the Uq​(slN​) reflection equations

Quasitriangular coideal subalgebras of $U_{q} (g)$ in terms of generalized Satake diagrams

Solutions of the $U_{q} (sl_{N})$ reflection equations