Geodesic
Expansions of \(k\)-Schur functions in the affine nilcoxeter algebra
Chris Berg1 ; Nantel Bergeron2 ; Steven Pon3 ; Mike Zabrocki2
1LaCIM Université du Québec à Montréal
2York University Fields Institute
3University of Connecticut
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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We give a type free formula for the expansion of $k$-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in affine type $C$.
DOI : 10.37236/2456
Classification : 05E05, 20F55, 14N15
Mots-clés : Schubert calculus, affine Grassmannian, nilcoxeter algebra, \(k\)-Schur

Chris Berg  1   ; Nantel Bergeron  2   ; Steven Pon  3   ; Mike Zabrocki  2

1 LaCIM Université du Québec à Montréal
2 York University Fields Institute
3 University of Connecticut 
@article{10_37236_2456,
     author = {Chris Berg and Nantel Bergeron and Steven Pon and Mike Zabrocki},
     title = {Expansions of {\(k\)-Schur} functions in the affine nilcoxeter algebra},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {2},
     doi = {10.37236/2456},
     zbl = {1253.05138},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2456/}
}
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Chris Berg; Nantel Bergeron; Steven Pon; Mike Zabrocki. Expansions of \(k\)-Schur functions in the affine nilcoxeter algebra. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2456

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