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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| Дата: | 2013 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149234 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1492342019-02-20T01:24:01Z Pentagon Relations in Direct Sums and Grassmann Algebras Korepanov, I.G. Sadykov, N.M. 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. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149234 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Korepanov, I.G. Sadykov, N.M. |
| spellingShingle |
Korepanov, I.G. Sadykov, N.M. Pentagon Relations in Direct Sums and Grassmann Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Korepanov, I.G. Sadykov, N.M. |
| author_sort |
Korepanov, I.G. |
| title |
Pentagon Relations in Direct Sums and Grassmann Algebras |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT korepanovig pentagonrelationsindirectsumsandgrassmannalgebras AT sadykovnm pentagonrelationsindirectsumsandgrassmannalgebras |
| first_indexed |
2023-05-20T17:32:18Z |
| last_indexed |
2023-05-20T17:32:18Z |
| _version_ |
1796153516507529216 |