A classification of four-tuples of spinors of a ten dimensional space
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918259020791808 |
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| author | de Graaf, Willem Elashvili, Alexander Jibladze, Mamuka |
| author_facet | de Graaf, Willem Elashvili, Alexander Jibladze, Mamuka |
| contents | We use the theory of theta-groups developed by Vinberg, along with computations in the computer algebra system GAP4, to classify the orbits of Spin(10,C)x SL(4,C) acting on the tensor product of the half spin module of Spin(10,C) and the natural module of SL(4,C). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19257 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A classification of four-tuples of spinors of a ten dimensional space de Graaf, Willem Elashvili, Alexander Jibladze, Mamuka Representation Theory 22E46, 17B10 We use the theory of theta-groups developed by Vinberg, along with computations in the computer algebra system GAP4, to classify the orbits of Spin(10,C)x SL(4,C) acting on the tensor product of the half spin module of Spin(10,C) and the natural module of SL(4,C). |
| title | A classification of four-tuples of spinors of a ten dimensional space |
| topic | Representation Theory 22E46, 17B10 |
| url | https://arxiv.org/abs/2512.19257 |