Year: 2025
Type: article
Abstract: Based on the vertex operator realization of the Schur functions, a determinant-type plethystic Murnaghan–Nakayama rule is obtained and utilized to derive a general formula of the expansion coefficients of $$s_{\nu }$$ s ν in the plethysm product $$(p_{n}\circ h_{k})s_{\mu }$$ ( p n ∘ h k ) s μ . Meanwhile, the equivalence between our algebraic rule and the combinatorial one is also established. As an application, we provide a simple way to compute the generalized Waring formula.
Authors: Yue Cao, Naihuan Jing, Ning Liu
Institutions: North Carolina State University, Peking University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Awards: G1408471380, G2072338019, G851176700
OpenAlex ID: W4417091939