nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one dimensional representation of A over F. It is the algebra analogue of a multiplicative character of a group. The importance of the concept, however, stems from its application to representations of Lie algebras and hence also to representations of algebraic and Lie groups. In this context, a weight of a representation is a generalization of the notion of an eigenvalue, and the corresponding eigenspace is called a weight space.

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Bibliographic Details

Title: Weight (representation theory) : Mathematics, Representation Theory, Algebra Over a Field, Theta Function, Pendulum, Trigonometry, Weierstrass's Elliptic Functions, Quarter Period, Complex Plane
Publisher: Omniscriptum
Publication Date: 2010
Language: English
ISBN 10: 6130364199
ISBN 13: 9786130364199
Binding: Taschenbuch
Condition: Neu
Dimensions: 220 millimeters width by 150 millimeters height by 7 millimeters depth
Weight: 191 grams

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one dimensional representation of A over F. It is the algebra analogue of a multiplicative character of a group. The importance of the concept, however, stems from its application to representations of Lie algebras and hence also to representations of algebraic and Lie groups. In this context, a weight of a representation is a generalization of the notion of an eigenvalue, and the corresponding eigenspace is called a weight space.

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