Cauchy identities for genus 2 Schur polynomials

S. Arthamonov, Sh. Shakirov, W. Yan

Genus 2 Macdonald polynomials $\hat{I}{¨}_{j_1,j_2,j_3}^{(q,t)}$ generalize ordinary Macdonald polynomials in several aspects. First, they provide common eigenfunctions for commuting diffe…