Similarities between Affine Lie algebra and Algebraic character
Affine Lie algebra and Algebraic character have 6 things in common (in Unionpedia): Kac–Moody algebra, Representation theory, Semisimple Lie algebra, Verma module, Weight (representation theory), Weyl character formula.
Kac–Moody algebra
In mathematics, a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently discovered them) is a Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix.
Affine Lie algebra and Kac–Moody algebra · Algebraic character and Kac–Moody algebra ·
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Affine Lie algebra and Representation theory · Algebraic character and Representation theory ·
Semisimple Lie algebra
In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras, i.e., non-abelian Lie algebras \mathfrak g whose only ideals are and \mathfrak g itself.
Affine Lie algebra and Semisimple Lie algebra · Algebraic character and Semisimple Lie algebra ·
Verma module
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics.
Affine Lie algebra and Verma module · Algebraic character and Verma module ·
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.
Affine Lie algebra and Weight (representation theory) · Algebraic character and Weight (representation theory) ·
Weyl character formula
In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights.
Affine Lie algebra and Weyl character formula · Algebraic character and Weyl character formula ·
The list above answers the following questions
- What Affine Lie algebra and Algebraic character have in common
- What are the similarities between Affine Lie algebra and Algebraic character
Affine Lie algebra and Algebraic character Comparison
Affine Lie algebra has 39 relations, while Algebraic character has 9. As they have in common 6, the Jaccard index is 12.50% = 6 / (39 + 9).
References
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