Orthogonal linear group-subgroup pairs with the same invariants

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dc.creatorSolomon, S.
dc.date2005-03-15
dc.date.accessioned2026-07-07T05:17:59Z
dc.date.available2026-07-07T05:17:59Z
dc.descriptionThe main theorem of Galois theory states that there are no finite group-subgroup pairs with the same invariants. On the other hand, if we consider complex linear reductive groups instead of finite groups, the analogous statement is no longer true: There exist counterexample group-subgroup pairs with the same invariants. However, it's possible to classify all these counterexamples for certain types of groups. In [16], we provided the classification for connected complex irreducible groups, and, in this paper, for connected complex orthogonal groups, i.e., groups that preserve some non-degenerate quadratic form.
dc.description27 pages, a part of PhD thesis
dc.identifierhttps://arxiv.org/abs/math/0503309
dc.identifierhttp://arxiv.org/abs/math/0503309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74505
dc.subjectRepresentation Theory
dc.subject22E46
dc.titleOrthogonal linear group-subgroup pairs with the same invariants
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