Zobrazeno 1 - 10
of 210
pro vyhledávání: '"Dmitri Nikshych"'
Autor:
Ostrik, Victor
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 categorie
Externí odkaz:
http://arxiv.org/abs/1309.4822
Publikováno v:
Oberwolfach Reports. 18:2397-2458
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e75355329a3b71f0b7b28214b662c1e
https://doi.org/10.4171/owr/2021/44
https://doi.org/10.4171/owr/2021/44
Autor:
Dmitri Nikshych
We prove an analog of the K\"unneth formula for the groups of minimal non-degenerate extensions arXiv:1602.05936 of symmetric fusion categories. We describe in detail the structure of the group of minimal extensions of a pointed super-Tannakian fusio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9222c9ceaf15c21c785125bbae632ef
http://arxiv.org/abs/2201.04076
http://arxiv.org/abs/2201.04076
Autor:
Dmitri Nikshych, Alexei Davydov
Publikováno v:
Selecta Mathematica
We classify various types of graded extensions of a finite braided tensor category $$\mathcal {B}$$ in terms of its 2-categorical Picard groups. In particular, we prove that braided extensions of $$\mathcal {B}$$ by a finite group A correspond to bra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e54a31c24c50a7a68d84f5e3e642502
https://hdl.handle.net/21.11116/0000-000B-02CB-E21.11116/0000-000B-02C6-321.11116/0000-000B-02C8-121.11116/0000-000B-02C9-0
https://hdl.handle.net/21.11116/0000-000B-02CB-E21.11116/0000-000B-02C6-321.11116/0000-000B-02C8-121.11116/0000-000B-02C9-0
Autor:
Dmitri Nikshych, Ian Marshall
Publikováno v:
Mathematische Zeitschrift. 288:689-712
We develop methods of computation of the Brauer–Picard groups of fusion categories and apply them to compute such groups for several classes of fusion categories of prime power dimension: representation categories of elementary abelian groups with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::531d5200c02eae7e51578f96c81a93e6
https://doi.org/10.1007/s00209-017-1907-y
https://doi.org/10.1007/s00209-017-1907-y
Publikováno v:
Contemporary Mathematics ISBN: 9781470443214
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5acb82155e1035eba4cb84aa88ed1855
https://doi.org/10.1090/conm/728
https://doi.org/10.1090/conm/728
We establish rank-finiteness for the class of $G$-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76d41d3e7726c4f60af9680dc178d8e1
http://arxiv.org/abs/1902.06165
http://arxiv.org/abs/1902.06165
Autor:
Jason Green, Dmitri Nikshych
We prove that representations of the braid groups coming from weakly group-theoretical braided fusion categories have finite images.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9e96db2ebcd99e8539a8a1b72f0ddf5
This volume contains the proceedings of the scientific session “Hopf Algebras and Tensor Categories”, held from July 27–28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and researc