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dc.contributor.author Loktev, S.A.
dc.contributor.author Natanzon, S.M.
dc.date.accessioned 2019-02-14T17:24:55Z
dc.date.available 2019-02-14T17:24:55Z
dc.date.issued 2011
dc.identifier.citation 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. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 57R56; 20C05
dc.identifier.other DOI:10.3842/SIGMA.2011.070
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147393
dc.description.abstract 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. uk_UA
dc.description.sponsorship We are grateful to P. Deligne, B. Feigin, Yu. Manin, S. Shadrin and V. Turaev for useful discussions. Part of this work was done during the stays of S.N. at Max-Planck-Institute in Bonn, he is grateful to MPIM for their hospitality and support. The work of S.N. was partly supported by grants RFBR-11-01-00289, N.Sh-8462.2010.1 and the Russian government grant 11.G34.31.0005. The work of S.L. was partly supported by grants: N.Sh-3035.2008.2, RFBR-09-01-00242, SU-HSE award No.09-09-0009, RFBR-CNRS-07-01-92214, RFBR-IND-08-01-91300, RFBR-CNRS-09-01-93106 and P. Deligne 2004 Balzan prize in mathematics. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Klein Topological Field Theories from Group Representations uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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