Grassmannians of classical buildings

著者
    • Pankov, Mark
書誌事項

Grassmannians of classical buildings

Mark Pankov

(Algebra and discrete mathematics, v. 2)

World Scientific, c2010

この図書・雑誌をさがす
注記

Includes bibliographical references (p. 207-210) and index

内容説明・目次

内容説明

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.

目次

  • Linear Algebra and Projective Geometry
  • Buildings and Grassmannians
  • Classical Grassmannians
  • Polar and Half-Spin Grassmannians.

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