Login Preferences
About News Publications Statistics Downloads API Guide License How to use Preferences
bn:02132727n
Noun Concept
Categories: Representation theory of Lie groups, Representation theory of Lie algebras, Lie algebras
EN
weight  Coweight  dominant weight  fundamental weight  fundamental Weyl chamber
EN
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. Wikipedia
English:
Lie algebra
Lie algebras
Definitions
Relations
Sources
EN
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. Wikipedia
A type of function Wikipedia Disambiguation
IS A
linear functional
Wikipedia
EN
weight (representation theory)
Wikidata
EN
weight
Wikipedia Redirections
EN
Coweight, dominant weight, fundamental weight, fundamental Weyl chamber, highest-weight module, highest-weight representation, highest weight, highest weight module, Highest weight modules, highest weight representation, highest weight vector, Integral weight, Lowest weight, Lowest weight representation, Simple highest weight module, simultaneous eigenvector, Weight (Lie algebra), Weight diagram, weight lattice, weight module, weight modules, weight space (representation theory), weight spaces, Weight subspace, weight vector

Please note that, in order to improve your browsing experience on this website, BabelNet® uses various types of cookies, including: browsing functionality, performance and statistical cookies.

By continuing to browse the site you are agreeing to our use of cookies. OK

License