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Klein Topological Field Theories from Group Representations
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: topological quantum field theory; group representation. 
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     author = {Sergey A. Loktev and Sergey M. Natanzon},
     title = {Klein {Topological} {Field} {Theories} from {Group} {Representations}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2011},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a69/}
}
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Sergey A. Loktev; Sergey M. Natanzon. Klein Topological Field Theories from Group Representations. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a69/

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