An analog of the Dennis-Vaserstein decomposition is proved for an arbitrary pair of maximal parabolic subgroups Pr and Ps in split classical groups, under appropriate stability conditions. Before, such decompositions were only known for pairs of terminal parabolic subgroups.

Original languageEnglish
Pages (from-to)637-657
Number of pages21
JournalSt. Petersburg Mathematical Journal
Volume23
Issue number4
DOIs
StatePublished - 28 Dec 2012

    Research areas

  • Bass-Kolster decomposition, Dennis-Vaserstein decomposition, Elementary subgroup, Gauss decomposition, Parabolic subgroups, Split classical groups, Stability conditions, Stable rank, Unitary stable rank

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

ID: 36088820