Multi-indicial symmetric functions
Joseph Ben Geloun, Mahouton Norbert Hounkonnou
TL;DR
This paper generalizes properties of symmetric functions using category theory, introducing multi-indicial symmetric functions with examples like Schur functions, expanding the theoretical framework of symmetric polynomials.
Contribution
It provides a categorical approach to characterize and extend symmetric functions to multi-indicial cases, including new properties and examples.
Findings
Generalization of symmetric functions via category theory
Characterization of multi-indicial symmetric functions
Examples including multi-indicial Schur functions
Abstract
In this paper, using the theory of category, we generalize known properties of symmetric polynomials and functions and characterize the multi-indicial symmetric functions. Examples have been given on Schur functions.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Mathematical Identities