On the Hopf superalgebra of symmetric functions in superspace

Autor:	Hattori, Masamune, Yagi, Renta, Yanagida, Shintarou
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics Mathematical Physics Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	We introduce a superspace analogue of combinatorial Hopf algebras (Aguiar-Bergeron-Sottile, 2006), and show that the Hopf superalgebra of quasi-symmetric (resp. symmetric) functions in superspace (Fishel-Lapointe-Pinto, 2019) is a terminal object in the category of all (resp. cocommutative) combinatorial Hopf superalgebras. We also introduce a superspace analogue of chromatic symmetric functions of graphs (Stanley, 1995) using the chromatic Hopf superalgebra of two-colored graphs. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.17670 Zobrazit plný text záznamu View this record from Arxiv