A Littlewood-Richardson rule for factorial Schur functions
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Publication:4257588
DOI10.1090/S0002-9947-99-02381-8zbMath0972.05053arXivq-alg/9707028OpenAlexW2155082294MaRDI QIDQ4257588
Bruce E. Sagan, Alexander I. Molev
Publication date: 31 August 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9707028
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Universal enveloping (super)algebras (17B35) Rings of differential operators (associative algebraic aspects) (16S32)
Related Items (50)
EQUIVARIANT -THEORY OF GRASSMANNIANS ⋮ Equivariant Pieri rules for isotropic Grassmannians ⋮ The torus equivariant cohomology rings of Springer varieties ⋮ Littlewood-Richardson polynomials ⋮ Product formulas for standard tableaux of a family of skew shapes ⋮ Equivariant quantum cohomology of the odd symplectic Grassmannian ⋮ Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials ⋮ Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ Excited Young diagrams and equivariant Schubert calculus ⋮ A Relation Between Symmetric Polynomials and the Algebra of Classes, Motivated by Equivariant Schubert Calculus ⋮ Equivariant quantum cohomology of the Grassmannian via the rim hook rule ⋮ Equivariant Schubert calculus and jeu de taquin ⋮ Shifted symmetric functions and multirectangular coordinates of Young diagrams ⋮ Characteristic maps for the Brauer algebra. ⋮ Hook formulas for skew shapes. I: \(q\)-analogues and bijections ⋮ Double Schubert polynomials for the classical groups ⋮ Modules of the 0-Hecke algebra and quasisymmetric Schur functions ⋮ \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions ⋮ Schur polynomials and weighted Grassmannians ⋮ Colored fermionic vertex models and symmetric functions ⋮ Crystals and integrable systems for edge labeled tableaux ⋮ A Molev-Sagan type formula for double Schubert polynomials ⋮ Hidden symmetries of weighted lozenge tilings ⋮ Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications ⋮ The universal factorial Hall–Littlewood $P$- and $Q$-functions ⋮ Integrable systems and crystals for edge labeled tableaux ⋮ Free fermionic Schur functions ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ A generalization of Schur's \(P\)- and \(Q\)-functions ⋮ Skew quasisymmetric Schur functions and noncommutative Schur functions ⋮ Puzzles and (equivariant) cohomology of Grassmannians ⋮ Quantum spectrum testing ⋮ Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians ⋮ Equivariant Littlewood-Richardson skew tableaux ⋮ Schubert calculus and equivariant cohomology of Grassmannians ⋮ Quantum integrability and generalised quantum Schubert calculus ⋮ Littlewood-Richardson coefficients for Grothendieck polynomials from integrability ⋮ Equivariant quantum Schubert calculus ⋮ Giambelli formulae for the equivariant quantum cohomology of the Grassmannian ⋮ Universal Gysin formulas for the universal Hall-Littlewood functions ⋮ Hall polynomials, inverse Kostka polynomials and puzzles ⋮ The flagged double Schur function ⋮ The puzzle conjecture for the cohomology of two-step flag manifolds ⋮ On the Okounkov-Olshanski formula for standard tableaux of skew shapes ⋮ Vanishing of Littlewood-Richardson polynomials is in P ⋮ Hook formulas for skew shapes. III: Multivariate and product formulas ⋮ Identities on factorial Grothendieck polynomials ⋮ Yang–Baxter algebras, convolution algebras, and Grassmannians ⋮ ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology ⋮ Mutations of puzzles and equivariant cohomology of two-step flag varieties
Cites Work
- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- A new class of symmetric polynomials defined in terms of tableaux
- The Bethe Ansatz and the combinatorics of Young tableaux
- A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence
- Specht series for skew representations of symmetric groups
- A Littlewood-Richardson miscellany
- A new tableau representation for supersymmetric Schur functions
- Shifted Jack polynomials, binomial formula, and applications
- Schur functions: Theme and variations
- Quantum immanants and higher Capelli identities
- Remarks on Classical Invariant Theory
- Puissances extérieures, déterminants et cycles de Schubert
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