Rigged configurations and unimodality
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Publication:2091282
DOI10.1007/978-3-030-78148-4_16zbMath1497.05263OpenAlexW4210305203MaRDI QIDQ2091282
Publication date: 1 November 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-78148-4_16
Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)
Uses Software
Cites Work
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- Strict unimodality of \(q\)-binomial coefficients
- A combinatorial proof of strict unimodality for \(q\)-binomial coefficients
- An invitation to the generalized saturation conjecture
- Unimodality of Gaussian coefficients: A constructive proof
- q-Catalan numbers
- The Bethe Ansatz and the combinatorics of Young tableaux
- Matrix concomitants with the mixed tensor model
- Generalization of the Gale-Ryser theorem
- A bijection between Littlewood-Richardson tableaux and rigged configurations
- Kirillov's unimodality conjecture for the rectangular Narayana polynomials
- Generalizing Narayana and Schröder numbers to higher dimensions
- Splitting the square of a Schur function into its symmetric and antisymmetric parts
- Three dimensional Narayana and Schröder numbers
- The q-log-concavity of q-binomial coefficients
- The Kronecker Product of Symmetric Group Representations
- Generalized exponents via Hall-Littlewood symmetric functions
- DECOMPOSITION OF SYMMETRIC AND EXTERIOR POWERS OF THE ADJOINT REPRESENTATION OF ${\mathfrak g}l_N$ 1: UNIMODALITY OF PRINCIPAL SPECIALIZATION OF THE INTERNAL PRODUCT OF THE SCHUR FUNCTIONS
- Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials
- Zeilberger’s KOH theorem and the strict unimodality of $q$-binomial coefficients
- Lie Group Representations on Polynomial Rings
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