A Pieri formula for the characters of complex simple Lie algebras
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Publication:6192557
DOI10.1007/s00031-022-09735-7WikidataQ113906275 ScholiaQ113906275MaRDI QIDQ6192557
Publication date: 11 March 2024
Published in: Transformation Groups (Search for Journal in Brave)
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20) Orthogonal polynomials and functions associated with root systems (33C52)
Cites Work
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- Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux
- Pieri formulas for Macdonald's spherical functions and polynomials
- Combinatorial models for Weyl characters
- Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)
- Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
- The Cauchy identity for \(Sp(2n)\)
- Kernel functions for difference operators of Ruijsenaars type and their applications
- Geometry of G/P. V
- Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- Lecture notes on Dunkl operators for real and complex reflection groups
- An orthosymplectic Pieri rule
- The Poincaré series of a Coxeter group
- Paths and root operators in representation theory
- The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants
- Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
- Lie groups. An approach through invariants and representations
- A reciprocity law and the skew Pieri rule for the symplectic group
- A Survey of Alternating Permutations
- A Generalized Macdonald Operator
- A combinatorial model for crystals of Kac-Moody algebras
- A decomposition formula for representations
- Tensor Products of Representations
- Explicit decompositions of some tensor products of modules for simple complex lie algbras
- Properties of some families of hypergeometric orthogonal polynomials in several variables
- Decomposition of a direct product of irreducible representations of a semisimple lie algebra into a direct sum of irreducible representations
- A generalization of the Littlewood-Richardson rule
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