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- Littelmann_path_model abstract "In mathematics, the Littelmann path model is a combinatorial device due to Peter Littelmann for computing multiplicities without overcounting in the representation theory of symmetrisable Kac–Moody algebras. Its most important application is to complex semisimple Lie algebras or equivalently compact semisimple Lie groups, the case described in this article. Multiplicities in irreducible representations, tensor products and branching rules can be calculated using a coloured directed graph, with labels given by the simple roots of the Lie algebra.Developed as a bridge between the theory of crystal bases arising from the work of Kashiwara and Lusztig on quantum groups and the standard monomial theory of C. S. Seshadri and Lakshmibai, Littelmann's path model associates to each irreducible representation a rational vector space with basis given by paths from the origin to a weight as well as a pair of root operators acting on paths for each simple root. This gives a direct way of recovering the algebraic and combinatorial structures previously discovered by Kashiwara and Lustzig using quantum groups.".
- Littelmann_path_model wikiPageID "11167326".
- Littelmann_path_model wikiPageRevisionID "599203643".
- Littelmann_path_model hasPhotoCollection Littelmann_path_model.
- Littelmann_path_model subject Category:Algebraic_combinatorics.
- Littelmann_path_model subject Category:Lie_algebras.
- Littelmann_path_model subject Category:Representation_theory.
- Littelmann_path_model type Abstraction100002137.
- Littelmann_path_model type Algebra106012726.
- Littelmann_path_model type Cognition100023271.
- Littelmann_path_model type Content105809192.
- Littelmann_path_model type Discipline105996646.
- Littelmann_path_model type KnowledgeDomain105999266.
- Littelmann_path_model type LieAlgebras.
- Littelmann_path_model type Mathematics106000644.
- Littelmann_path_model type PsychologicalFeature100023100.
- Littelmann_path_model type PureMathematics106003682.
- Littelmann_path_model type Science105999797.
- Littelmann_path_model comment "In mathematics, the Littelmann path model is a combinatorial device due to Peter Littelmann for computing multiplicities without overcounting in the representation theory of symmetrisable Kac–Moody algebras. Its most important application is to complex semisimple Lie algebras or equivalently compact semisimple Lie groups, the case described in this article.".
- Littelmann_path_model label "Littelmann path model".
- Littelmann_path_model sameAs m.02r28l1.
- Littelmann_path_model sameAs Q6648763.
- Littelmann_path_model sameAs Q6648763.
- Littelmann_path_model sameAs Littelmann_path_model.
- Littelmann_path_model wasDerivedFrom Littelmann_path_model?oldid=599203643.
- Littelmann_path_model isPrimaryTopicOf Littelmann_path_model.