483 citations · 1.7k across the 181 of their papers we have counts for
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On Cherednik-Macdonald-Mehta identities
Pavel Etingof, Alexander Kirillov
In this note we give a short proof of Cherednik's generalization of Macdonald-Mehta identities for the root system using the representation theory of quantum groups. Thes…
Some Properties of Finite-Dimensional Semisimple Hopf Algebras
Pavel Etingof, Shlomo Gelaki
Kaplansky conjectured that if H is a finite-dimensional semisimple Hopf algebra over an algebraically closed field k of characteristic 0, then H is of Frobenius type (i.e. if V is…
Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma
Pavel Etingof, Israel Gelfand, Vladimir Retakh
We find explicit (multisoliton) solutions for nonabelian integrable systems such as periodic Toda field equations, Langmuir equations, and Schrodinger equations for functions with…
Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
Pavel Etingof, Israel Gelfand, Vladimir Retakh
We integrate nonabelian Toda field equations for root systems of types A, B, C, for functions with values in any associative algebra. The solution is expressed via quasideterminant…
Quantization of Lie bialgebras, II
Pavel Etingof, David Kazhdan
This paper is a continuation of "Quantization of Lie bialgebras, I" (q-alg/9606005). We show that the quantization procedure defined in "Quantization of Lie bialgebras, I" is given…
Quantization of Lie bialgebras, III
Pavel Etingof, David Kazhdan
In this paper we construct explicitly the quantization of Lie bialgebras of $\g$-valued functions on a punctured rational or elliptic curve, where $\g$ is a finite dimensional simp…