Pentagon Relations in Direct Sums and Grassmann Algebras

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.

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Бібліографічні деталі
Опубліковано в: :	Symmetry, Integrability and Geometry: Methods and Applications
Дата:	2013
Автори:	Korepanov, I.G., Sadykov, N.M.
Формат:	Стаття
Мова:	English
Опубліковано:	Інститут математики НАН України 2013
Онлайн доступ:	https://nasplib.isofts.kiev.ua/handle/123456789/149234
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Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:	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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

id	nasplib_isofts_kiev_ua-123456789-149234
record_format	dspace
spelling	Korepanov, I.G. Sadykov, N.M. 2019-02-19T19:04:26Z 2019-02-19T19:04:26Z 2013 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. 1815-0659 2010 Mathematics Subject Classification: 15A75; 57Q99; 57R56 DOI: http://dx.doi.org/10.3842/SIGMA.2013.030 https://nasplib.isofts.kiev.ua/handle/123456789/149234 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. The authors thank Rinat Kashaev for useful discussions, and the referees for careful reading of the first version of the paper and valuable comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Pentagon Relations in Direct Sums and Grassmann Algebras Article published earlier
institution	Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection	DSpace DC
title	Pentagon Relations in Direct Sums and Grassmann Algebras
spellingShingle	Pentagon Relations in Direct Sums and Grassmann Algebras Korepanov, I.G. Sadykov, N.M.
title_short	Pentagon Relations in Direct Sums and Grassmann Algebras
title_full	Pentagon Relations in Direct Sums and Grassmann Algebras
title_fullStr	Pentagon Relations in Direct Sums and Grassmann Algebras
title_full_unstemmed	Pentagon Relations in Direct Sums and Grassmann Algebras
title_sort	pentagon relations in direct sums and grassmann algebras
author	Korepanov, I.G. Sadykov, N.M.
author_facet	Korepanov, I.G. Sadykov, N.M.
publishDate	2013
language	English
container_title	Symmetry, Integrability and Geometry: Methods and Applications
publisher	Інститут математики НАН України
format	Article
description	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.
issn	1815-0659
url	https://nasplib.isofts.kiev.ua/handle/123456789/149234
citation_txt	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.
work_keys_str_mv	AT korepanovig pentagonrelationsindirectsumsandgrassmannalgebras AT sadykovnm pentagonrelationsindirectsumsandgrassmannalgebras
first_indexed	2025-12-07T16:13:51Z
last_indexed	2025-12-07T16:13:51Z
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Pentagon Relations in Direct Sums and Grassmann Algebras

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