@article{a571a3c22de04e84b858e3571d05102f,
title = "A Pieri formula and a factorization formula for sums of K-theoretic k-Schur functions",
abstract = "We give a Pieri-type formula for the sum of K-k-Schur functions Pµ6λ gµ(k) over a principal order ideal of the poset of k-bounded partitions under the strong Bruhat order, whose sum we denote by egλ(k). As an application of this, we also give a k-rectangle factorization formula egR(k t)∪λ = egR(k t)egλ(k) where Rt = (tk+1-t), analogous to that of k-Schur functions s(Rkt) ∪λ = s(Rkt) sλ(k)",
keywords = "Affine symmetric groups, Coxeter groups, K-theoretic k-Schur functions, Pieri rule",
author = "Motoki Takigiku",
note = "Funding Information: Acknowledgements. The author would like to express his gratitude to Takeshi Ikeda for suggesting this topic to the author, many fruitful discussions and communicating to him the idea of considering the Schubert class of structure sheaves, related to the work [14]. He is grateful to Itaru Terada for many valuable discussions and comments. He also wishes to thank Hiroshi Naruse and Mark Shimozono for helpful comments. This work was supported by the Program for Leading Graduate Schools, MEXT, Japan. Publisher Copyright: {\textcopyright} The journal and the authors, 2019. Some rights reserved.",
year = "2019",
doi = "10.5802/ALCO.45",
language = "English",
volume = "2",
pages = "447--480",
journal = "Algebraic Combinatorics",
issn = "2589-5486",
publisher = "Centre Mersenne",
number = "4",
}