scientific article; zbMATH DE number 2115428
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Publication:4826795
zbMath1060.17001MaRDI QIDQ4826795
Publication date: 12 November 2004
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multiplicity-free representationsWeyl character formulatensor products of irreducible representationsrepresentations of semisimple Lie algebras
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple flag varieties of finite type
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- On spherical double cones
- Symplectic multiple flag varieties of finite type
- Multiplicity-free products of Schur functions
- A weighted enumeration of maximal chains in the Bruhat order
- Paths and root operators in representation theory
- Bruhat lattices, plane partition generating functions, and minuscule representations
- Representation of complex semi-simple Lie groups and Lie algebras
- On a problem of Klee concerning convex polytopes
- When is the multiplicity of a weight equal to 1?
- Multiplicity-free tensor products of irreducible representations of the exceptional Lie groups
- Decomposition of a direct product of irreducible representations of a semisimple lie algebra into a direct sum of irreducible representations
- Introduction to Lie Algebras and Representation Theory