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Rotations, quaternions, and double groups

Author: Simon L Altmann
Publisher: Oxford [Oxfordshire] : Clarendon Press ; New York : Oxford University Press, 1986.
Series: Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Quaternions are a simple and powerful tool for handling rotations and double groups.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Simon L Altmann
ISBN: 0198553722 9780198553724
OCLC Number: 12162866
Description: xiv, 317 pages : illustrations ; 24 cm.
Contents: Introduction --
All you need to know about symmetries, matrices, and groups --
A primer on rotations and rotation matrices --
Rotations and angular momentum --
Tensor bases: introduction to spinors --
The bilinear transformation: introduction to SU(2), SU'(2), and rotations. More about spinors --
Rotations and SU(2). The stereographic projection --
Projective representations --
The geometry of rotations --
The topology of rotations --
The spinor representations --
The algebra of rotations: quaternions --
Double groups --
The irreducible representations of SO(3) --
Examples and applications --
Solutions to problems.
Series Title: Oxford science publications.
Other Titles: Double groups.
Responsibility: Simon L. Altmann.
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