Pentagon Relations in Direct Sums and Grassmann Algebras

dc.contributor.author	Korepanov, I.G.
dc.contributor.author	Sadykov, N.M.
dc.date.accessioned	2019-02-19T19:04:26Z
dc.date.available	2019-02-19T19:04:26Z
dc.date.issued	2013
dc.identifier.citation	Pentagon Relations in Direct Sums and Grassmann Algebras / I.G. Korepanov, N.M. Sadykov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 15A75; 57Q99; 57R56
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.030
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149234
dc.description.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.	uk_UA
dc.description.sponsorship	The authors thank Rinat Kashaev for useful discussions, and the referees for careful reading of the first version of the paper and valuable comments.	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	Pentagon Relations in Direct Sums and Grassmann Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA