A shifted analogue to ribbon tableaux

DOI10.4310/JOC.2020.V11.N1.A8zbMATH Open1427.05230arXiv1701.07497OpenAlexW3099269156WikidataQ127191146 ScholiaQ127191146MaRDI QIDQ2335912

Ezgi Kantarci Oğuz

Publication date: 18 November 2019

Published in: Journal of Combinatorics (Search for Journal in Brave)

Abstract: We introduce a shifted analogue of the ribbon tableaux defined by James and Kerber. For any positive integer $k$, we give a bijection between the $k$-ribbon fillings of a shifted shape and regular fillings of a $lfloork/2floor$-tuple of shapes called its $k$-quotient. We also define the corresponding generating functions, and prove that they are symmetric, Schur positive and Schur $Q$-positive.

Full work available at URL: https://arxiv.org/abs/1701.07497

zbMATH Keywords

LLT polynomialsSchur's Q-functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

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