Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Eric C. Rowell"'
Autor:
Eric C. Rowell
Publikováno v:
Reference Module in Materials Science and Materials Engineering ISBN: 9780128035818
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2625bfd99b09d46e9189ddded5deef4
https://doi.org/10.1016/b978-0-323-90800-9.00144-x
https://doi.org/10.1016/b978-0-323-90800-9.00144-x
Publikováno v:
Communications in Mathematical Physics. 386:1-55
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categorifications of new fusion rule algebras, modular data, and minimal modu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34bc5699da29c61730dc9197da06e95a
https://doi.org/10.1007/s00220-021-04002-4
https://doi.org/10.1007/s00220-021-04002-4
Publikováno v:
Proceedings of the American Mathematical Society. 147:21-34
We give a complete classification of modular categories of dimension $p^3m$ where $p$ is prime and $m$ is a square-free integer. When $p$ is odd, all such categories are pointed. For $p=2$ one encounters modular categories with the same fusion ring a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc6f447ae2e116c3cfda05aa4948cac5
https://doi.org/10.1090/proc/13776
https://doi.org/10.1090/proc/13776
Autor:
Eric C. Rowell, Zhenghan Wang
Publikováno v:
Bulletin of the American Mathematical Society. 55:183-238
In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological precision has been confirmed in quantum Hall liquids by experiments to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eea154d50e7aef0fff1590d289789aa
https://doi.org/10.1090/bull/1605
https://doi.org/10.1090/bull/1605
We unify and generalize several approaches to constructing braid group representations from finite groups, using iterated twisted tensor products. We provide some general characterizations and classification of these representations, focusing on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::552281901c81d03544920ab0f42ad64a
http://arxiv.org/abs/1906.08153
http://arxiv.org/abs/1906.08153
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:
Paul Gustafson, Leslie Mavrakis, Sasha Poltoratski, Sydney Timmerman, Benjamin Warren, Adam Deaton, Eric C. Rowell, Qing Zhang
A braided fusion category is said to have Property $\textbf{F}$ if the associated braid group representations factor over a finite group. We verify integral metaplectic modular categories have property $\textbf{F}$ by showing these categories are gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c24fdb20b560552cbd9661bed4d3a8a8
Publikováno v:
Journal of Algebra. 466:141-146
We obtain a classification of metaplectic modular categories: every metaplectic modular category is a gauging of the particle–hole symmetry of a cyclic modular category. Our classification suggests a conjecture that every weakly-integral modular ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d872bc7847bec4b2ace689ab861f10d5
https://doi.org/10.1016/j.jalgebra.2016.08.001
https://doi.org/10.1016/j.jalgebra.2016.08.001
Publikováno v:
International Mathematics Research Notices. 2016:7546-7588
The feasibility of a classification-by-rank program for modular categories follows from the Rank-Finiteness Theorem. We develop arithmetic, representation theoretic and algebraic methods for classifying modular categories by rank. As an application,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acc9f73bc84789fcfee509fd7aeb2714
https://doi.org/10.1093/imrn/rnw020
https://doi.org/10.1093/imrn/rnw020
Publikováno v:
Tohoku Math. J. (2) 72, no. 3 (2020), 411-424
$N$-Metaplectic categories, unitary modular categories with the same fusion rules as $SO(N)_2$, are prototypical examples of weakly integral modular categories. As such, a conjecture of the second author would imply that images of the braid group rep
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea40de5e222cc4a214b2c07baa50339f
http://arxiv.org/abs/1808.00698
http://arxiv.org/abs/1808.00698