Combinatorics of K-theory via a K-theoretic Poirier-Reutenauer bialgebra

Rebecca Patrias, Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

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).

Original languageEnglish (US)
Pages (from-to)1095-1115
Number of pages21
JournalDiscrete Mathematics
Volume339
Issue number3
DOIs
StatePublished - Mar 6 2016

Bibliographical note

Funding 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 .

Publisher Copyright:
© 2015 Elsevier B.V.

Keywords

  • Bialgebra
  • K-theory
  • Symmetric functions

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