Fermionic Computations for Integrable Hierarchies
Jian Zhou
TL;DR
This paper introduces a unified fermionic method to compute tau-functions and n-point functions for integrable hierarchies linked to infinite-dimensional Lie algebras, advancing the computational tools in integrable systems.
Contribution
It provides a novel fermionic framework that simplifies the calculation of key functions in integrable hierarchies associated with Lie algebra representations.
Findings
Unified fermionic approach for tau-functions
Efficient computation of n-point functions
Application to hierarchies related to Lie algebras
Abstract
We present a unified fermionic approach to compute the tau-functions and the n-point functions of integrable hierarchies related to some infinite-dimensional Lie algebras and their representations.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Molecular spectroscopy and chirality