Weight (representation theory) | Mathematics, Representation Theory, Algebra Over a Field, Theta Function, Pendulum, Trigonometry, Weierstrass's Elliptic Functions, Quarter Period, Complex Plane | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130364199 | Verantwortliche Person f�r die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabr�ck, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.

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Weight (representation theory) | Mathematics, Representation Theory, Algebra Over a Field, Theta Function, Pendulum, Trigonometry, Weierstrass's Elliptic Functions, Quarter Period, Complex Plane

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OmniScriptum

Publication Date

2026

Language

English

ISBN 10

6130364199

ISBN 13

9786130364199

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Taschenbuch

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Neu

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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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