3 citations · 9 across the 7 of their papers we have counts for
8 papers · 1 filter
Deformed Double Current Algebras via Deligne Categories
Daniil Kalinov
In this paper we give an alternative construction of a certain class of Deformed Double Current Algebras. These algebras are deformations of and they w…
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…
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…
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…
Classification of simple algebras in Deligne category
Nate Harman, Daniil Kalinov
We classify simple associative and Lie algebras inside the Deligne categories , answering a question posed by Etingof.
The Hilbert Series of the Irreducible Quotient of the Polynomial Representation of the Rational Cherednik Algebra of Type in Characteristic for
Merrick Cai, Daniil Kalinov
We study the irreducible quotient of the polynomial representation of the rational Cherednik algebra of type ove…
Signatures for finite-dimensional representations of real reductive Lie groups
Daniil Kalinov, David A. Vogan, Christopher Xu
We present a closed formula, analogous to the Weyl dimension formula, for the signature of an invariant Hermitian form on any finite-dimensional irreducible representation of a rea…
Finite-dimensional representations of Yangians in complex rank
Daniil Kalinov
We classify the "finite-dimensional" irreducible representations of the Yangians and . These are associative ind-algebras in the Deligne ca…