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- Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob +1 other
- 2009

INTRODUCTION Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory. In this letter Dedekind made the following observation: take the… (More)

- Pavel Etingof, John Kim
- 2008

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. a r t i c l e i n f o a b s t r a c t We study the quotient Q i (A) of a free… (More)

Following the works by Wiegmann–Zabrodin, Elbau–Felder, Hedenmalm–Maka-rov, and others, we consider the normal matrix model with an arbitrary potential function, and explain how the problem of finding the support domain for the asymptotic eigenvalue density of such matrices (when the size of the matrices goes to infinity) is related to the problem of… (More)

We start the general structure theory of not necessarily semisimple finite tensor categories, generalizing the results in the semi-simple case (i. e. for fusion categories), obtained recently in our joint work with D. Nikshych. In particular, we generalize to the categorical setting the Hopf and quasi-Hopf algebra freeness theorems due to Nichols–Zoeller… (More)

- Pavel Etingof, Victor Ginzburg
- 2003

Let W be a finite Coxeter group in a Euclidean vector space V , and let m be a W-invariant Z+-valued function on the set of reflections in W. Chalykh and Veselov introduced an interesting algebra Qm, called the algebra of m-quasi-invariants for W , such that C[V ] W ⊆ Qm ⊆ C[V ], Q0 = C[V ], and Qm ⊇ Q m whenever m ≤ m. Namely, Qm is the algebra of quantum… (More)

- Citation Etingof, Pavel, Dmitri Nikshych, Victor Ostrik Weakly, Pavel Etingof
- 2009

The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. To Izrail Moiseevich Gelfand on his 95th birthday with admiration

- Pavel Etingof
- 2006

To my mother Yelena Etingof on her 75-th birthday, with admiration

- Pavel Etingof
- 2012

The goal of this paper is to present some results and (more importantly) state a number of conjectures suggesting that the representation theory of symplectic reflection algebras for wreath products categorifies certain structures in the representation theory of affine Lie algebras (namely, decompositions of the restriction of the basic representation to… (More)

- Alice Shih, Ying Chan, Gerald E Sacks, Pavel Etingof
- 2006