A combinatorial proof of a Weyl type formula for hook Schur polynomials
From MaRDI portal
Publication:1016023
DOI10.1007/s10801-007-0109-9zbMath1201.17002arXivmath/0612845OpenAlexW2056925592MaRDI QIDQ1016023
Publication date: 4 May 2009
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612845
Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56)
Related Items (3)
Crystal duality and Littlewood-Richardson rule of extremal weight crystals ⋮ Factorial supersymmetric skew Schur functions and ninth variation determinantal identities ⋮ Demazure crystals of generalized Verma modules and a flagged RSK correspondence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
- Crystal graphs for Lie superalgebras and Cauchy decomposition
- The Kazhdan-Lusztig conjecture for generalized Verma modules
- On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
- Kazhdan-Lusztig conjecture and holonomic systems
- Representations of Coxeter groups and Hecke algebras
- Lie algebra homology and the Macdonald-Kac formulas
- On the Segal-Shale-Weil representations and harmonic polynomials
- Lie subalgebras of differential operators on the super circle
- Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras.
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- Representation theory of the vertex algebra \(W_{1+\infty}\)
- Rational semistandard tableaux and character formula for the Lie superalgebra \(\widehat{\mathfrak{gl}}_{\infty|\infty}\)
- Permutations, matrices, and generalized Young tableaux
- Combinatorics of Coxeter Groups
- Super duality and Kazhdan-Lusztig polynomials
- Analogues of Kostant's -cohomology formulas for unitary highest weight modules.
- Remarks on Classical Invariant Theory
- Differential operators and highest weight representations
- Characters of typical representations of classical lie superalgebras
- Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
- Lie superalgebras
This page was built for publication: A combinatorial proof of a Weyl type formula for hook Schur polynomials