Combinatorial Hopf algebras and K-homology of Grassmanians
| dc.creator | Lam, Thomas | |
| dc.creator | Pylyavskyy, Pavlo | |
| dc.date | 2007-05-15 | |
| dc.date.accessioned | 2026-07-07T08:01:42Z | |
| dc.date.available | 2026-07-07T08:01:42Z | |
| dc.description | Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, we study six combinatorial Hopf algebras. These Hopf algebras can be thought of as K-theoretic analogues of the by now classical ``square'' of Hopf algebras consisting of symmetric functions, quasisymmetric functions, noncommutative symmetric functions and the Malvenuto-Reutenauer Hopf algebra of permutations. In addition, we develop a theory of set-valued P-partitions and study three new families of symmetric functions which are weight generating functions of reverse plane partitions, weak set-valued tableaux and valued-set tableaux. | |
| dc.description | 35 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/0705.2189 | |
| dc.identifier | http://arxiv.org/abs/0705.2189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128991 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 05E05; 57T05; 14M15 | |
| dc.title | Combinatorial Hopf algebras and K-homology of Grassmanians | |
| dc.type | text |