HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

The expansion of Hall-Littlewood functions in the dual Grothendieck polynomial basis

Abstract : A combinatorial expansion of the Hall-Littlewood functions into the Schur basis of symmetric functions was first given by Lascoux and Schützenberger, with their discovery of the charge statistic. A combinatorial expansion of stable Grassmannian Grothendieck polynomials into monomials was first given by Buch, using set-valued tableaux. The dual basis of the stable Grothendieck polynomials was given a combinatorial expansion into monomials by Lam and Pylyavskyy using reverse plane partitions. We generalize charge to set-valued tableaux and use all of these combinatorial ideas to give a nice expansion of Hall-Littlewood polynomials into the dual Grothendieck basis. \par
Complete list of metadata

Cited literature [6 references]  Display  Hide  Download

Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Monday, August 24, 2015 - 3:47:55 PM
Last modification on : Tuesday, March 7, 2017 - 3:10:44 PM
Long-term archiving on: : Wednesday, November 25, 2015 - 5:44:18 PM


Publisher files allowed on an open archive




Jason Bandlow, Jennifer Morse. The expansion of Hall-Littlewood functions in the dual Grothendieck polynomial basis. 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 2010, San Francisco, United States. pp.145-154, ⟨10.46298/dmtcs.2860⟩. ⟨hal-01186288⟩



Record views


Files downloads