Berg, Chris; Bergeron, Nantel; Thomas, Hugh; Zabrocki, Mike Expansion of \(k\)-Schur functions for maximal rectangles within the affine nilCoxeter algebra. (English) Zbl 1291.05218 J. Comb. 3, No. 3, 563-589 (2012). Summary: We give several explicit combinatorial formulas for the expansion of \(k\)-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra. Using our result, we also show a commutation relation of \(k\)-Schur functions corresponding to rectangles with the generators of the affine nilCoxeter algebra. Cited in 7 Documents MSC: 05E15 Combinatorial aspects of groups and algebras (MSC2010) 05E05 Symmetric functions and generalizations 14N15 Classical problems, Schubert calculus Keywords:\(k\)-bounded partitions PDFBibTeX XMLCite \textit{C. Berg} et al., J. Comb. 3, No. 3, 563--589 (2012; Zbl 1291.05218) Full Text: DOI arXiv