Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures

Author:

Betea D.,Wheeler M.,Zinn-Justin P.

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference18 articles.

1. Andrews, G.E., Goulden, I.P., Jackson, D.M.: Generalizations of Cauchy’s summation theorem for Schur functions. Trans. Am. Math. Soc. 310(2), 805–820 (1988)

2. Betea, D., Wheeler, M.: Refined Cauchy and littlewood identities, plane partitions, and symmetry classes of alternating sign matrices (2014). arXiv:1402.0229

3. Izergin, A.G.: Partition function of the six-vertex model in a finite volume. Dokl. Akad. Nauk SSSR 297(2), 331–333 (1987)

4. Kirillov, A.N., Noumi, M.: $$q$$ q -difference raising operators for Macdonald polynomials and the integrality of transition coefficients. In: Algebraic Methods and $$q$$ q -Special Functions (Montréal, QC, 1996), CRM Proc. Lecture Notes, vol. 22. Am. Math. Soc, Providence, RI, pp. 227–243 (1999)

5. Korepin, V., Zinn-Justin, P.: Thermodynamic limit of the six-vertex model with domain wall boundary conditions. J. Phys. A 33(40), 7053–7066 (2000)

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