Klein Topological Field Theories from Group Representations

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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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