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math.RT2026
Young's lattice, invariant ideals, and weak identities
Vladimir Dotsenko, Artem Lopatin
For a -dimensional vector space over a field of characteristic zero, we show that -stable ideals of the universal enveloping algebra of the free two-step nilpotent Li…
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…