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Cambridge Tracts in Mathematics #61: Generalized Clifford Parallelism

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Cambridge Tracts in Mathematics #61: Generalized Clifford Parallelism Cover

 

Synopses & Reviews

Publisher Comments:

The authors of this tract present a treatment of generalised Clifford parallelism within the framework of complex projective geometry. After a brief survey of the necessary preliminary material, the principal properties of systems of mutually Clifford parallel spaces are developed, centred round discussion of an extended form of the Hurwitz - Radon matrix equations. Later chapters deal with methods for the construction and representation of such systems. Much of the work in the tract is previously unpublished. Some emphasis has been placed throughout on special cases (particularly on the exceptionally interesting parallelisms that exist in spaces of seven and fifteen dimensions). Numerous exercises give the reader a clear insight into the fresh ideas presented. The tract will be of interest to advanced undergraduates and graduates with special interests in algebraic and projective geometry or in the geometry of matrices.

Table of Contents

1. Introduction; 2. Preliminaries of geometry in S2n-1; 3. Clifford parallel spaces and Clifford reguli; 4. Linear systems of Clifford parallels; 5. Geometrical constructions; 6. The T-representation; 7. Half-Grassmannians.

Product Details

ISBN:
9780521091848
Author:
Tyrrell, J. A.
Publisher:
Cambridge University Press
Author:
Semple, J. G.
Location:
Cambridge
Subject:
Geometry - General
Subject:
Applied
Subject:
Topology - General
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Topology
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
61
Publication Date:
20081231
Binding:
TRADE PAPER
Language:
English
Pages:
152
Dimensions:
5.51x8.50x.35 in. .44 lbs.

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Cambridge Tracts in Mathematics #61: Generalized Clifford Parallelism New Trade Paper
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Product details 152 pages Cambridge University Press - English 9780521091848 Reviews:
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