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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.03511 |
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| _version_ | 1866917503971622912 |
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| author | Serrano, Higinio Uribe, Bernardo |
| author_facet | Serrano, Higinio Uribe, Bernardo |
| contents | Given a magnetic finite group, we consider the similarity classes of magnetic equivariant central simple graded algebras over the complex numbers. We call this set the magnetic equivariant graded Brauer group and its structure as an abelian group is explicitly determined. Following Karoubi, we argue that the elements of this graded Brauer group parametrize the twistings of the magnetic equivariant K-theory of a point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic Equivariant Graded Brauer Group Serrano, Higinio Uribe, Bernardo K-Theory and Homology Representation Theory 16K50, 19L50 Given a magnetic finite group, we consider the similarity classes of magnetic equivariant central simple graded algebras over the complex numbers. We call this set the magnetic equivariant graded Brauer group and its structure as an abelian group is explicitly determined. Following Karoubi, we argue that the elements of this graded Brauer group parametrize the twistings of the magnetic equivariant K-theory of a point. |
| title | Magnetic Equivariant Graded Brauer Group |
| topic | K-Theory and Homology Representation Theory 16K50, 19L50 |
| url | https://arxiv.org/abs/2512.03511 |