We use the K-Knuth equivalence of Buch and Samuel (2015) to define a K-theoretic analogue of the Poirier-Reutenauer Hopf algebra. As an application, we rederive the K-theoretic Littlewood-Richardson rules of Thomas and Yong (2009, 2011) and of Buch and Samuel (2015).
Bibliographical noteFunding Information:
R.P. was supported by NSF grant DMS-1148634 . P.P. was supported by NSF grants DMS-1068169 , DMS-1148634 , DMS-1351590 , and Sloan Fellowship .
© 2015 Elsevier B.V.
- Symmetric functions