nLab Victor Ostrik

Victor Ostrik is a mathematicain at University of Oregon (web). He has been one of the main figures in the development of the theory of fusion categories.

Selected writings

On tensor categories:

• Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, Topics in Lie theory and Tensor categories – 9 Tensor categories, Lecture notes (spring 2009) (pdf web)

• Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, Tensor Categories, AMS Mathematical Surveys and Monographs 205 (2015) $[$ISBN:978-1-4704-3441-0$]$

On Deligne's theorem on tensor categories:

• Victor Ostrik, Tensor categories (after P. Deligne) (arXiv:math/0401347)

On braided fusion categories:

• Pavel Etingof, Dmitri Nikshych, Victor Ostrik, On fusion categories, Annals of Mathematics Second Series, Vol. 162, No. 2 (Sep., 2005), pp. 581-642 (arXiv:math/0203060, jstor:20159926)

• Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, On braided fusion categories I, Selecta Mathematica. New Series 16 (2010), no. 1, 1–119 (doi:10.1007/s00029-010-0017-z)

On Frobenius exact categories:

• Pavel Etingof, Victor Ostrik, On the Frobenius functor for symmetric tensor categories in positive characteristic, J. für die reine und angewandte Mathematik 773 (2021) 165–198 $[$arXiv:1912.12947$]$

and in view of Deligne's theorem on tensor categories:

• Kevin Coulembier, Pavel Etingof, Victor Ostrik, On Frobenius exact symmetric tensor categories $[$arXiv:2107.02372$]$

Related entries

• monoidal category,

• fusion category, weak Hopf algebra

category: people