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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 030, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.030 (Mi sigma813) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Pentagon Relations in Direct Sums and Grassmann Algebras

Igor G. Korepanov, Nurlan M. Sadykov

Moscow State University of Instrument Engineering and Computer Sciences, 20 Stromynka Str., Moscow 107996, Russia
Full-text PDF (412 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2013.030
Abstract: We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three $n$-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic Reidemeister torsions.
Keywords: Pachner moves; pentagon relations; Grassmann algebras.
Received: December 19, 2012; in final form April 5, 2013; Published online April 10, 2013
Bibliographic databases:
Document Type: Article
MSC: 15A75; 57Q99; 57R56
Language: English
Citation: Igor G. Korepanov, Nurlan M. Sadykov, “Pentagon Relations in Direct Sums and Grassmann Algebras”, SIGMA, 9 (2013), 030, 16 pp.
Citation in format AMSBIB
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\by Igor~G.~Korepanov, Nurlan~M.~Sadykov
\paper Pentagon Relations in Direct Sums and Grassmann Algebras
\jour SIGMA
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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