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.File allegati a questo prodotto
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