The Skew Immaculate Hecke Poset and 0-Hecke Modules
The immaculate Hecke poset was introduced and investigated by Niese, Sundaram, van Willigenburg, Vega and Wang, who established the full poset structure, and determined modules for the 0-Hecke algebra action on immaculate and row-strict immaculate tableaux. In this paper, we extend their results by introducing the skew immaculate Hecke poset. We investigate the poset structure, and construct modules for the 0-Hecke algebra action on skew immaculate and skew row-strict immaculate tableaux, thus showing that the skew immaculate Hecke poset captures representation-theoretic information analogous to the immaculate Hecke poset. We also describe branching rules for the resulting skew modules.
Authors
- Nadia Lafrenière (ORCID: https://orcid.org/0000-0002-1951-5915)
- Rosa Orellana (ORCID: https://orcid.org/0000-0002-8562-3615)
- Stephanie van Willigenburg (ORCID: https://orcid.org/0000-0002-5340-5568)
- Sheila Sundaram (ORCID: https://orcid.org/0000-0002-1583-4740)
- Anna Pun (ORCID: https://orcid.org/0000-0001-5279-3936)
- Tamsen Whitehead McGinley
Institutions
- Dartmouth College (US)
- Baruch College (US)
- University of British Columbia (CA)
- Santa Clara University (US)
- Clinique Saint Pierre (BE)
Publication Details
- Journal
- The Electronic Journal of Combinatorics
- Published
- 2025-04-24
- DOI
- https://doi.org/10.37236/13350
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Banff International Research Station for Mathematical Innovation and Discovery
- Natural Sciences and Engineering Research Council of Canada