• Anglický jazyk

Weight (representation theory)

Autor: Lambert M. Surhone

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... Viac o knihe

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O knihe

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.

  • Vydavateľstvo: OmniScriptum
  • Rok vydania: 2026
  • Formát: Paperback
  • Rozmer: 220 x 150 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9786130364199

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