Rotations, quaternions, and double groups

書誌事項

Rotations, quaternions, and double groups

Simon L. Altmann

(Oxford science publications)

Clarendon Press , Oxford University Press, 1986

タイトル別名

Double groups

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注記

Bibliography: p. 298-303

Includes index

内容説明・目次

内容説明

Quaternions are a simple and powerful tool for handling rotations and double groups. This book gives a complete treatment of finite point groups as subgroups of the full rotation group and emphasizes geometrical and topological methods which permit a unique definition of the quaternion parameters for all operations of such groups. An important feature of the book is an elementary but comprehensive discussion of projective representations and their application to the spinor representations. This gives great advantages in conciseness and precision over the more classicl double group method. The treatment throughout is self-contained although some familiarity with elementary group theory is assumed.

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