Daniil Kalinov

activity

20182021

most citedNew realizations of deformed double current algebras and Deligne categories

2 citations · 3 across the 3 of their papers we have counts for

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Showing 2018 · math.RTShow all

3 papers · 2 filters

math.RT2018

The Hilbert Series of the Irreducible Quotient of the Polynomial Representation of the Rational Cherednik Algebra of Type $A_{n - 1}$ in Characteristic $p$ for $p ∣ n - 1$

Merrick Cai, Daniil Kalinov

We study the irreducible quotient $L_{t, c}$ of the polynomial representation of the rational Cherednik algebra $H_{t, c} (S_{n}, h)$ of type $A_{n - 1}$ ove…

math.RT2018

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…

math.RT2018

Finite-dimensional representations of Yangians in complex rank

Daniil Kalinov

We classify the "finite-dimensional" irreducible representations of the Yangians $Y (gl_{t})$ and $Y (sl_{t})$ . These are associative ind-algebras in the Deligne ca…

The Hilbert Series of the Irreducible Quotient of the Polynomial Representation of the Rational Cherednik Algebra of Type An−1​ in Characteristic p for p∣n−1

Signatures for finite-dimensional representations of real reductive Lie groups

Finite-dimensional representations of Yangians in complex rank

The Hilbert Series of the Irreducible Quotient of the Polynomial Representation of the Rational Cherednik Algebra of Type $A_{n - 1}$ in Characteristic $p$ for $p ∣ n - 1$