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- Title
Structure Constants for Immaculate Functions.
- Authors
Li, Shu Xiao
- Abstract
The immaculate functions, Sa<inline-graphic></inline-graphic>, were introduced as a Schur-like basis for NSym, the ring of noncommutative symmetric functions. We investigate their structure constants. These are analogues of Littlewood-Richardson coefficents. We will give a new proof of the left Pieri rule for the Sa<inline-graphic></inline-graphic>, a translation invariance property for the structure coefficients of the Sa<inline-graphic></inline-graphic>, and a counterexample to an Sa<inline-graphic></inline-graphic>-analogue of the saturation conjecture.
- Subjects
MATHEMATICAL constants; NONCOMMUTATIVE differential geometry; MATHEMATICAL symmetry; COEFFICIENTS (Statistics); LOGICAL prediction
- Publication
Annals of Combinatorics, 2018, Vol 22, Issue 2, p347
- ISSN
0218-0006
- Publication type
Article
- DOI
10.1007/s00026-018-0386-0