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math.RT2026
Quantum wreath products and Yang-Baxter equations
Alexandre Minets
We extend the setup of Lai-Nakano-Xiang's quantum wreath product algebras to symmetric monoidal categories and deformed braid relations. Under some mild assumptions, we drastically…
math.RT2025
Stratifying quiver Schur algebras via ersatz parity sheaves
Ruslan Maksimau, Alexandre Minets
We propose an extension of the theory of parity sheaves, which allows for non-locally constant sheaves along strata. Our definition is tailored for proving the existence of (proper…
math.RT2025
Schurification of polynomial quantum wreath products
Chun-Ju Lai, Alexandre Minets
We study the Schur algebra counterpart of a vast class of quantum wreath products. This is achieved by developing a theory of twisted convolution algebras, inspired by geometric in…