Explicit equations for exterior square of the general linear group
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866913369239322624 |
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| author | Lubkov, Roman Nekrasov, Ilia |
| author_facet | Lubkov, Roman Nekrasov, Ilia |
| contents | We present several explicit systems of equations defining exterior square of the general linear group as an affine group scheme. Algebraic ingredients of the equations, exterior numbers, are translated into the language of weight diagrams corresponding to Lie groups of type $A_{n-1}$ in representation with the highest weight $\varpi_{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_05721 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Explicit equations for exterior square of the general linear group Lubkov, Roman Nekrasov, Ilia Group Theory Representation Theory We present several explicit systems of equations defining exterior square of the general linear group as an affine group scheme. Algebraic ingredients of the equations, exterior numbers, are translated into the language of weight diagrams corresponding to Lie groups of type $A_{n-1}$ in representation with the highest weight $\varpi_{2}$. |
| title | Explicit equations for exterior square of the general linear group |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/1803.05721 |