Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Victor Ostrik"'
Publikováno v:
Annals of Mathematics. 197
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f14f9aee5cee50b4977761c31b80d410
https://doi.org/10.4007/annals.2023.197.3.5
https://doi.org/10.4007/annals.2023.197.3.5
Autor:
Victor Ostrik, Zhiqiang Yu
Publikováno v:
Advances in Mathematics. 419:108961
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efd088e87f9a525e77efb685462708b1
https://doi.org/10.1016/j.aim.2023.108961
https://doi.org/10.1016/j.aim.2023.108961
Autor:
Pavel Etingof, Victor Ostrik
Publikováno v:
Trends in Mathematics ISBN: 9783030820060
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::940fd525219829cef9ae54d10a0a575e
https://doi.org/10.1007/978-3-030-82007-7_1
https://doi.org/10.1007/978-3-030-82007-7_1
Autor:
Victor Ostrik
Publikováno v:
Tensor Categories and Hopf Algebras. :169-180
We give a nontrivial lower bound for global dimension of a spherical fusion category.
Comment: 11 pages, contains an Appendix joint with Pavel Etingof
Comment: 11 pages, contains an Appendix joint with Pavel Etingof
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ccf10cd6b88b9ec6c153b2b9caf49033
https://doi.org/10.1090/conm/728/14661
https://doi.org/10.1090/conm/728/14661
We study abelian envelopes for pseudo-tensor categories with the property that every object in the envelope is a quotient of an object in the pseudo-tensor category. We establish an intrinsic criterion on pseudo-tensor categories for the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c1165b6db66a14ab6d32c8855b58d2d
Autor:
Victor Ostrik
Publikováno v:
Selecta Mathematica. 26
We propose a conjectural extension in the positive characteristic case of well known Deligne’s theorem on the existence of super fiber functors. We prove our conjecture in the special case of semisimple categories with finitely many isomorphism cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d8363c027cb5673924351b34ebad08a
https://doi.org/10.1007/s00029-020-00567-5
https://doi.org/10.1007/s00029-020-00567-5
Autor:
Victor Ostrik, Pavel Etingof
We develop a theory of Frobenius functors for symmetric tensor categories (STC) $\mathcal{C}$ over a field $\bf k$ of characteristic $p$, and give its applications to classification of such categories. Namely, we define a twisted-linear symmetric mon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3150529726f22c0ad0bfe99dd7d8aab
Publikováno v:
arXiv
We study properties of symmetric fusion categories in characteristic $p$. In particular, we introduce the notion of a super Frobenius-Perron dimension of an object $X$ of such a category, and derive an explicit formula for the Verlinde fiber functor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d3d1b8c8eaf7736f6faeed3dee8966d
https://doi.org/10.1093/imrn/rnw024
https://doi.org/10.1093/imrn/rnw024
Autor:
Victor Ostrik
Publikováno v:
Moscow Mathematical Journal. 15:373-396
We classify all fusion categories of rank 3 that admit a pivotal structure over an algebraically closed field of characteristic zero. Also in the Appendix (joint with D. Nikshych) we give some restrictions on Grothendieck rings of near-group categori
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e932cd9f06a8af45ddc5f37cc5d5bfa
https://doi.org/10.17323/1609-4514-2015-15-2-373-396
https://doi.org/10.17323/1609-4514-2015-15-2-373-396
Autor:
Victor Ostrik, Jonathan Comes
Publikováno v:
Algebra & Number Theory. 8:473-496
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4259ae9e795065ac68740a220fd028c5
https://doi.org/10.2140/ant.2014.8.473
https://doi.org/10.2140/ant.2014.8.473