On homogeneous involutions on matrix algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912859907162112 |
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| author | Garcia, Micael Said Sampaio, Cassia Ferreira |
| author_facet | Garcia, Micael Said Sampaio, Cassia Ferreira |
| contents | We study the homogeneous involutions on the full square matrices over an algebraically closed field endowed with a division grading with commutative support. We obtain the classification of the isomorphism and equivalence classes for the Pauli grading. We also investigate the homogeneous involutions on the full square matrices with entries in a finite-dimensional graded-division algebra over an algebraically closed field of characteristic not $2$ endowed with an arbitrary grading by an arbitrary group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22049 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On homogeneous involutions on matrix algebras Garcia, Micael Said Sampaio, Cassia Ferreira Rings and Algebras 16W50, 16W10 We study the homogeneous involutions on the full square matrices over an algebraically closed field endowed with a division grading with commutative support. We obtain the classification of the isomorphism and equivalence classes for the Pauli grading. We also investigate the homogeneous involutions on the full square matrices with entries in a finite-dimensional graded-division algebra over an algebraically closed field of characteristic not $2$ endowed with an arbitrary grading by an arbitrary group. |
| title | On homogeneous involutions on matrix algebras |
| topic | Rings and Algebras 16W50, 16W10 |
| url | https://arxiv.org/abs/2601.22049 |