Centralizers of irreducible subgroups in the projective special linear group
| Autor: | Guérin, Clément |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we classify conjugacy classes of centralizers of irreducible subgroups in $PSL(n,\mathbb{C})$ using alternate modules a.k.a. finite abelian groups with an alternate bilinear form. When $n$ is squarefree, we prove that these conjugacy classes are classified by their isomorphism classes. More generally, we define a finite graph related to this classification whose combinatorial properties are expected to help us describe the stratification of the singular (orbifold) locus in some character varieties. Comment: 32 pages |
| Databáze: | arXiv |
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