nLab Victor Ostrik

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

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• MathGenealogy page

• GoogleScholar page

• ResearchGate page

Selected writings

On module categories, weak Hopf algebras and modular invariants:

• Victor Ostrik: Module categories, weak Hopf algebras and modular invariants, Transformation Groups 8 (2003) 177-206 [doi:10.1007/s00031-003-0515-6, arXiv:0111139]

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 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 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