Grassmannians of Classical Buildings

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  • Grassmannians of Classical Buildings Book Detail

  • Author : Mark Pankov
  • Release Date : 2010
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 225
  • ISBN 13 : 981431756X
  • File Size : 54,54 MB

Grassmannians of Classical Buildings by Mark Pankov PDF Summary

Book Description: Buildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains both classical and more recent results on Grassmannians of buildings of classical types. It gives a modern interpretation of some classical results from the geometry of linear groups. The presented methods are applied to some geometric constructions non-related to buildings Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions. The book is self-contained and the requirement for the reader is a knowledge of basic algebra and graph theory. This makes it very suitable for use in a course for graduate students.

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Grassmannians of Classical Buildings

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Buildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into

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