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searching for Representation theory of semisimple Lie algebras 8 found (73 total)

alternate case: representation theory of semisimple Lie algebras

Algebraic character (461 words) [view diff] exact match in snippet view article find links to article

character is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite-dimensional

Category O (435 words) [view diff] exact match in snippet view article find links to article

In the representation theory of semisimple Lie algebras, Category O (or category O {\displaystyle {\mathcal {O}}} ) is a category whose objects are certain

Yangian (1,256 words) [view diff] exact match in snippet view article find links to article

a way similar to the highest weight theory in the representation theory of semisimple Lie algebras. The role of the highest weight is played by a finite

Compact group (4,472 words) [view diff] exact match in snippet view article find links to article

weight of the representation. In the closely related representation theory of semisimple Lie algebras, the Weyl character formula is an additional result

Dual representation (1,699 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\bar {3}}} ." More generally, in the representation theory of semisimple Lie algebras (or the closely related representation theory of compact

Israel Gelfand (2,030 words) [view diff] exact match in snippet view article find links to article

contributions to the theory of Verma modules in the representation theory of semisimple Lie algebras (with I. N. Bernstein and S. I. Gelfand); contributions

Universal enveloping algebra (9,255 words) [view diff] exact match in snippet view article find links to article

over U ( g ) {\displaystyle U({\mathfrak {g}})} . The representation theory of semisimple Lie algebras rests on the observation that there is an isomorphism

Representation theory of the Lorentz group (19,748 words) [view diff] exact match in snippet view article find links to article

group is deduced using the general framework of the representation theory of semisimple Lie algebras. The finite-dimensional representations of the connected