Free fermionic Schur functions

DOI10.1016/j.aim.2023.109413zbMath1529.05160arXiv2301.12110OpenAlexW4388899512MaRDI QIDQ6182791

Slava Naprienko

Publication date: 21 December 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.12110

zbMATH Keywords

Schur functionsYang-Baxter equationsix vertex modelsupersymmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Classical problems, Schubert calculus (14N15) Yang-Baxter equations (16T25) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

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• Puzzles and (equivariant) cohomology of Grassmannians
• Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model
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• Cylindric Hecke characters and Gromov-Witten invariants via the asymmetric six-vertex model
• Dual wavefunction of the Felderhof model
• The factorial Schur function
• A Littlewood-Richardson rule for factorial Schur functions
• Back stable Schubert calculus
• Factorial Schur functions and the Yang-Baxter equation
• On the Vector Representations of Induced Matroids
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