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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2013 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | 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 |
| Zitieren: | 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| _version_ | 1862690605537165312 |
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| author | Korepanov, I.G. Sadykov, N.M. |
| author_facet | Korepanov, I.G. Sadykov, N.M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:13:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149234 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:13:51Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | Pentagon Relations in Direct Sums and Grassmann Algebras Korepanov, I.G. Sadykov, N.M. |
| title | 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_short | Pentagon Relations in Direct Sums and Grassmann Algebras |
| title_sort | pentagon relations in direct sums and grassmann algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149234 |
| work_keys_str_mv | AT korepanovig pentagonrelationsindirectsumsandgrassmannalgebras AT sadykovnm pentagonrelationsindirectsumsandgrassmannalgebras |