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Klein Topological Field Theories from Group Representations

Vernadsky National Library of Ukraine

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Title Klein Topological Field Theories from Group Representations
 
Creator Loktev, S.A.
Natanzon, S.M.
 
Description We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the projective plane in this theory with the Frobenius-Schur indicator on the representation. We relate any complex simple Klein TFT to a real division ring.
 
Date 2019-02-14T17:24:55Z
2019-02-14T17:24:55Z
2011
 
Type Article
 
Identifier Klein Topological Field Theories from Group Representations / S.A. Loktev, S.M. Natanzon // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 57R56; 20C05
DOI:10.3842/SIGMA.2011.070
http://dspace.nbuv.gov.ua/handle/123456789/147393
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України