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math.RT2020
Sums of binomial coefficients evaluated at and applications
Daniil Kalinov, Andrei Mandelshtam
The additive monoid is defined as the set of all nonnegative integer linear combinations of binomial coefficients for . This paper is con…
math.RT2020★ 2 cited
New realizations of deformed double current algebras and Deligne categories
Pavel Etingof, Daniil Kalinov, Eric Rains
In this paper we propose an alternative construction of a certain class of Deformed Double Current Algebras. We construct them as spherical subalgebras of symplectic reflection alg…
math.RT2020
The Rational Cherednik Algebra of Type with Divided Powers
Daniil Kalinov, Lev Kruglyak
Motivated by the recent developments of the theory of Cherednik algebras in positive characteristic, we study rational Cherednik algebras with divided powers. In our research we ha…