3 papers
math.RT2026
Athinization of irreducible -modules with dominant highest weights
Mikhail Bershtein, Evgeny Mukhin, Leonid Rybnikov +1
We study the Gelfand-Tsetlin realization of generic Verma modules for the affine Lie algebra by viewing them as thin modules over the affine Yangian $Y(…
math.GR2026
Weak order on groups generated by involutions
Fabricio Dos Santos, Christophe Hohlweg, Aleksandr Trufanov
In this article, we propose to initiate the general study of involution systems. An {\em involution system}, that is, a group generated by a set of involutions , is naturall…
math.QA2025
Highest-weight vectors and three-point functions in GKO coset decomposition
Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov
We revisit the classical Goddard-Kent-Olive coset construction. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive…