Tensor spaces and exterior algebra
著者
書誌事項
Tensor spaces and exterior algebra
（Translations of mathematical monographs, v. 108）
American Mathematical Society, c1992
- タイトル別名
-
Tensoru kuukan to gaiseki daisuu
テンソル空間と外積代数
- 統一タイトル
-
Tensoru kūkan to gaiseki daisū
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注記
Translation of: テンソル空間と外積代数
Includes bibliographical references and index
内容説明・目次
内容説明
This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject. Tensor Spaces and Exterior Algebra begins with basic notions associated with tensors. To facilitate understanding of the definitions, Yokonuma often presents two or more different ways of describing one object. Next, the properties and applications of tensors are developed, including the classical definition of tensors and the description of relative tensors. Also discussed are the algebraic foundations of tensor calculus and applications of exterior algebra to determinants and to geometry. This book closes with an examination of algebraic systems with bilinear multiplication. In particular, Yokonuma discusses the theory of replicas of Chevalley and several properties of Lie algebras deduced from them.
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