Work

Primed Decomposition Tableaux and Extended Queer Crystals

Year: 2025

Type: article

Abstract: Our previous work introduced a category of extended queer crystals, whose connected normal objects have unique highest weight elements and characters that are Schur Q-polynomials. The initial models for such crystals were based on semistandard shifted tableaux. Here, we introduce a simpler construction using certain “primed” decomposition tableaux, which slightly generalize the decomposition tableaux used in work of Grantcharov et al. This leads to a new, shorter proof of the highest weight properties of the normal subcategory of extended queer crystals. Along the way, we analyze a primed extension of Grantcharov et al.’s insertion scheme for decomposition tableaux.

Source: Algebras and Representation Theory

DOI: 10.1007/s10468-025-10323-y

Authors: Eric Marberg, Kam Hung Tong

Institution: Hong Kong University of Science and Technology

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funder: Hong Kong University of Science and Technology