3 papers
math.RT2025
GKLO representations of twisted Yangians in type and quantizations of symmetric quotients of the affine Grassmannian
Robin Bartlett, Tomasz Przezdziecki, Lukas Tappeiner
We construct an analogue of Gerasimov-Kharchev-Lebedev-Oblezin (GKLO) representations for twisted Yangians of type , using the recently found current presentation of t…
math.QA2025
Shifted twisted Yangians and finite -algebras of classical type
Kang Lu, Yung-Ning Peng, Lukas Tappeiner +2
We introduce parabolic presentations of twisted Yangians of types AI and AII, interpolating between the R-matrix presentation and the Drinfeld presentation. Then we formulate and p…
math.RT2025
Shifted twisted Yangians and Slodowy slices in classical Lie algebras
Lukas Tappeiner, Lewis Topley
In this paper we introduce the shifted twisted Yangian of type {\sf AI}, following the work of Lu--Wang--Zhang, and we study their semiclassical limits, a class of Poisson algebras…