Products of quasireflections and transvections over local rings

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Autor/in:
Erscheinungsjahr:
1988
Medientyp:
Text
Schlagworte:
  • AMS subject classification: Primary 15A23, 15A33, Secondary 51F25, 20H25
  • local ring
  • orthogonal group
  • quasireflection
  • symplectic group
  • transvection
  • unitary groups
Beschreibung:
  • Let R be a commutative local ring and M a free R-module of rank n. The module M is endowed with a metric structure given by a sesquilinear form or by a quadratic form. We show, every isometry π of M is a product of quasireflections or transvections. We determine the minimal number of factors needed in any factorization of π if the path of π is a subspace. For all other isometries we obtain only an upper bound. © 1988 Birkhäuser Verlag.
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  • info:eu-repo/semantics/closedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/0cb1f891-c63b-4b32-8317-93a43e951554