B. Feigin

collaborators

2 papers

math.QA2026

$(gl_{n}, gl_{m})$ -duality and Olshanski homomorphism

B. Feigin, L. Rybnikov, F. Uvarov

We show that the images of the Bethe subalgebras of the Yangians $Y (gl_{n})$ and $Y (gl_{m})$ under the homomorphisms to $U (gl_{n + m})$ given by the…

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…

(gln​,glm​)-duality and Olshanski homomorphism

Highest-weight vectors and three-point functions in GKO coset decomposition

$(gl_{n}, gl_{m})$ -duality and Olshanski homomorphism