The reverse decomposition of unipotents for bivectors
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866914815916638208 |
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| author | Lubkov, Roman |
| author_facet | Lubkov, Roman |
| contents | For the second fundamental representation of the general linear group over a commutative ring $R$ we construct straightforward and uniform polynomial expressions of elementary generators as products of elementary conjugates of an arbitrary matrix and its inverse. Towards the solution we get stabilization theorems for any column of a matrix from $GL_{n \choose 2}(R)$ or from the exterior square of $GL_n(R)$, $n\geq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_05010 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The reverse decomposition of unipotents for bivectors Lubkov, Roman Group Theory Representation Theory For the second fundamental representation of the general linear group over a commutative ring $R$ we construct straightforward and uniform polynomial expressions of elementary generators as products of elementary conjugates of an arbitrary matrix and its inverse. Towards the solution we get stabilization theorems for any column of a matrix from $GL_{n \choose 2}(R)$ or from the exterior square of $GL_n(R)$, $n\geq 3$. |
| title | The reverse decomposition of unipotents for bivectors |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2102.05010 |