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math.RT2024
Cauchy identities for staircase matrices
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi
The well known Cauchy identity expresses the product of terms for indexing entries of a rectangular -matrix as a sum over partitions of…
math.RT2024
Symplectic Grassmannians and Cyclic Quivers
Evgeny Feigin, Martina Lanini, Matteo Micheli +1
The goal of this paper is to extend the quiver Grassmannian description of certain degenerations of Grassmann varieties to the symplectic case. We introduce a symplectic version of…
math.RT2024
Categorification of quiver diagonalization and Koszul algebras
Vladimir Dotsenko, Evgeny Feigin, Piotr Kucharski +1
In earlier work of three of the authors of the present paper, a supercommutative quadratic algebra was associated to each symmetric quiver, and a new proof of positivity of motivic…