nLab Victor Ostrik (changes)

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

• institute page

• MathGenealogy page

• GoogleScholar page

• ResearchGate page

Selected writings

On tensor module categories, weak Hopf algebras and modular invariants:

• Victor Ostrik

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

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

• 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](http://arxiv.org/abs/math/0401347)]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](https://bookstore.ams.org/surv-205)]

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](https://arxiv.org/abs/1912.12947)]$[$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](https://arxiv.org/abs/2107.02372)]$[$arXiv:2107.02372$]$

Related entries

• monoidal category,

• fusion category, weak Hopf algebra