B. Feigin

activity

19982026

most citedLusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models

40 citations · 89 across the 5 of their papers we have counts for

collaborators

4 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.QA2024

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…

hep-th2009★ 40 cited

Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models

P. V. Bushlanov, B. L. Feigin, A. M. Gainutdinov +1

We introduce a Kazhdan--Lusztig-dual quantum group for (1,p) Virasoro logarithmic minimal models as the Lusztig limit of the quantum sl(2) at pth root of unity and show that this l…

math.QA1998★ 9 cited

Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2))

Jintai Ding, Boris Feigin

In this paper, we establish the connection between the quantized W-algebra of $s l (2, 1)$ and quantum parafermions of $U_{q} (s l^(2))$ that a shifted product of the…

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

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

Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models

Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2))

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