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hep-th2025
Non-commutative creation operators for symmetric polynomials
A. Mironov, A. Morozov
We reconsider in modern terms the old discovery by A. Kirillov and M. Noumi, who devised peculiar operators adding columns to Young diagrams enumerating the Schur, Jack and Macdona…
hep-th2024
A basic triad in Macdonald theory
A. Mironov, A. Morozov, A. Popolitov
Within the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A. Veselov an…
hep-th1993★ 19 cited
Heisenberg realization for U_q(sln) on the flag manifold
H. Awata, M. Noumi, S. Odake
We give the Heisenberg realization for the quantum algebra , which is written by the -difference operator on the flag manifold. We construct it from the action of $U_…