Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Quantization of Lie bialgebras, II

- P. Etingof, D. Kazhdan
- Mathematics
- 1 September 1996

Abstract. This paper is a continuation of [EK]. We show that the quantization procedure of [EK] is given by universal acyclic formulas and defines a functor from the category of Lie bialgebras to the… Expand

On fusion categories

- P. Etingof, D. Nikshych, V. Ostrik
- Mathematics
- 7 March 2002

Using a variety of methods developed in the literature (in particular, the theory of weak Hopf algebras), we prove a number of general results about fusion categories in characteristic zero. We show… Expand

On set-theoretical solutions of the quantum Yang-Baxter equation

- P. Etingof, T. Schedler, A. Soloviev
- Mathematics
- 22 July 1997

Recently V.Drinfeld formulated a number of problems in quantum group theory. In particular, he suggested to consider ``set-theoretical'' solutions of the quantum Yang-Baxter equation, i.e. solutions… Expand

Finite tensor categories

- P. Etingof, V. Ostrik
- Mathematics
- 4 January 2003

We start the general structure theory of not necessarily semisimple finite tensor categories, generalizing the results in the semisimple case (i.e. for fusion categories), obtained recently in our… Expand

Fusion categories and homotopy theory

- P. Etingof, D. Nikshych, V. Ostrik, with an appendix by Ehud Meir
- Mathematics
- 17 September 2009

We apply the yoga of classical homotopy theory to classification problems of G-extensions of fusion and braided fusion categories, where G is a finite group. Namely, we reduce such problems to… Expand

Lectures on Quantum Groups

- P. Etingof, O. Schiffmann
- Mathematics
- 2001

Revised second edition. The text covers the material presented for a graduate-level course on quantum groups at Harvard University. Covered topics include: Poisson algebras and quantization,… Expand

Parabolic induction and restriction functors for rational Cherednik algebras

- R. Bezrukavnikov, P. Etingof
- Mathematics
- 25 March 2008

Abstract.We introduce parabolic induction and restriction functors for rational Cherednik algebras, and study their basic properties. Then we discuss applications of these functors to representation… Expand

Quantization of Lie bialgebras, I

- P. Etingof, D. Kazhdan
- Mathematics
- 6 June 1995

In the paper [Dr3] V. Drinfeld formulated a number of problems in quantum group theory. In particular, he raised the question about the existence of a quantization for Lie bialgebras, which arose… Expand

WEAKLY GROUP-THEORETICAL AND SOLVABLE FUSION CATEGORIES

- P. Etingof, D. Nikshych, V. Ostrik
- Mathematics
- 17 September 2008

We introduce two new classes of fusion categories which are obtained by a certain procedure from finite groups – weakly group-theoretical categories and solvable categories. These are fusion… Expand

Noncommutative geometry and quiver algebras

- W. Crawley-Boevey, P. Etingof, V. Ginzburg
- Mathematics
- 15 February 2005

Abstract We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutative… Expand

...

1

2

3

4

5

...