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Journal of Mathematical Sciences

, Volume 171, Issue 3, pp 331–337 | Cite as

Dennis–Vaserstein type decompositions

  • N. A. Vavilov
  • S. S. Sinchuk
Article

A generalization of the Dennis–Vaserstein decomposition is proved for an arbitrary pair of maximal parabolic subgroups P r and P s in the general linear group GL(n, R), provided that rs ≥ sr (R). The usual Dennis–Vaserstein decomposition is the special case where r = n − 1, s =1. Bibliography: 23 titles.

Keywords

Russia Classical Group Linear Group Parabolic Subgroup General Linear Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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