On Lagrangian Algebras in Braided Fusion Categories
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Ohio University / OhioLINK
2017
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1490611477557286 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-ohiou14906114775572862021-08-03T07:00:57Z On Lagrangian Algebras in Braided Fusion Categories Simmons, Darren Allen Mathematics Fusion categories Braided categories Group cohomology Finite groups This work is part of an ongoing study of a generalization of the notion of symmetry. In mathematics, the notion of symmetry is formalized into the concept of a group. Examples of groups arise naturally throughout mathematics, chemistry, physics, and other fields. However, recent developments in high-energy and condensed matter physics show that not all kinds of symmetry that arise in nature can be captured by groups. A versatile, more general tool that does this job is a certain class of tensor categories known as fusion categories. We add to the study of these categories by constructing certain analogues to the classical algebraic notion of an associative algebra over a field inside them, and then expounding the properties of these generalized algebras. 2017-07-05 English text Ohio University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1490611477557286 http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1490611477557286 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Mathematics Fusion categories Braided categories Group cohomology Finite groups |
| spellingShingle |
Mathematics Fusion categories Braided categories Group cohomology Finite groups Simmons, Darren Allen On Lagrangian Algebras in Braided Fusion Categories |
| author |
Simmons, Darren Allen |
| author_facet |
Simmons, Darren Allen |
| author_sort |
Simmons, Darren Allen |
| title |
On Lagrangian Algebras in Braided Fusion Categories |
| title_short |
On Lagrangian Algebras in Braided Fusion Categories |
| title_full |
On Lagrangian Algebras in Braided Fusion Categories |
| title_fullStr |
On Lagrangian Algebras in Braided Fusion Categories |
| title_full_unstemmed |
On Lagrangian Algebras in Braided Fusion Categories |
| title_sort |
on lagrangian algebras in braided fusion categories |
| publisher |
Ohio University / OhioLINK |
| publishDate |
2017 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1490611477557286 |
| work_keys_str_mv |
AT simmonsdarrenallen onlagrangianalgebrasinbraidedfusioncategories |
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1719451838937300992 |