fundamental weight - ορισμός. Τι είναι το fundamental weight
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Τι (ποιος) είναι fundamental weight - ορισμός

CONCEPT IN LIE-ALGEBRA REPRESENTATION THEORY
Weight (Lie algebra); Lowest weight representation; Highest weight representation; Weight lattice; Weight (Lie algebras); Highest weight; Lowest weight; Highest weight module; Weight vector; Weight module; Highest weight modules; Fundamental weight; Highest weight vector; Weight modules; Dominant weight; Integral weight; Fundamental Weyl chamber; Simple highest weight module; Simultaneous eigenvector; Highest-weight module; Weight diagram; Weight spaces; Weight subspace; Coweight; Weight space (representation theory); Highest-weight representation
  • Example of the weights of a representation of the Lie algebra sl(3,C)

fundamental         
WIKIMEDIA DISAMBIGUATION PAGE
Fundamtenal; Fundamentals; Fundamental (album); Fundament; Fundamental (disambiguation)
I. a.
Essential, primary, indispensable, radical, constitutional, organic, most important, principal.
II. n.
Leading principle, essential part, essential principle.
Weight (representation theory)         
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.
fundamental         
WIKIMEDIA DISAMBIGUATION PAGE
Fundamtenal; Fundamentals; Fundamental (album); Fundament; Fundamental (disambiguation)
adj. fundamental to

Βικιπαίδεια

Weight (representation theory)

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.