Grassmannians of classical building / Mark Pankov.

Format:

Book

Author/Creator:

Pankov, Mark.

Series:

Algebra and discrete mathematics (World Scientific (Firm)) ; v. 2.

Algebra and discrete mathematics, 1793-5873 ; v.2

Language:

English

Subjects (All):

Grassmann manifolds.

Buildings (Group theory).

Physical Description:

1 online resource (230 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific Pub. Co., 2010.

Language Note:

English

Summary:

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

Contents:

Preface; Contents; 0. Introduction; 1. Linear Algebra and Projective Geometry; 2. Buildings and Grassmannians; 3. Classical Grassmannians; 4. Polar and Half-Spin Grassmannians; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613144867

9781283144865

1283144867

9789814317573

9814317578

OCLC:

740446103