We study closures of conjugacy classes in the symmetric matrices of the orthogonal group and we determine which one are normal varieties. In contrast to the result for the symplectic group where all classes have normal closure, there is only a relatively small portion of classes with normal closure. We perform a combinatorial computation on top of the same methods used by Kraft-Procesi and Ohta.

Normality of Closures of Orthogonal Nilpotent Symmetric Orbits / Trevisiol, M.. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - (2022). [10.1007/s00031-022-09695-y]

Normality of Closures of Orthogonal Nilpotent Symmetric Orbits

Trevisiol, M.
2022

Abstract

We study closures of conjugacy classes in the symmetric matrices of the orthogonal group and we determine which one are normal varieties. In contrast to the result for the symplectic group where all classes have normal closure, there is only a relatively small portion of classes with normal closure. We perform a combinatorial computation on top of the same methods used by Kraft-Procesi and Ohta.
2022
classical invariant theory; conjugacy classes; normality
01 Pubblicazione su rivista::01a Articolo in rivista
Normality of Closures of Orthogonal Nilpotent Symmetric Orbits / Trevisiol, M.. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - (2022). [10.1007/s00031-022-09695-y]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1620052
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