Shifted quasi-symmetric functions and the Hopf algebra of peak functions

Discrete Mathematics

Volumn 246, Issue 1-3, 2002, Pages 57-66

  Bergeron, Nantel ^a   Mykytiuk, Stefan ^b   Sottile, Frank ^b   Van Willigenburg, Stephanie ^a  

^a YORK UNIVERSITY   (Canada)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Fieri; Graded operation; Poset; Quasi symmetric functions

Indexed keywords

EID: 31244434539     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(01)00251-5     Document Type: Article

References (10)

1. S. Billey, M. Haiman, Schubert polynomials for the classical groups, J. AMS 8 (1995) 443-482.
2. I. Gessel, Multipartite P-partitions and inner products of skew Schur functions, Contemp. Math. 34 (1984) 289-301.
3. F. Hivert, Quasi-symmetric functions and Hecke algebra action, Proceeding of the 10th FPSAC, Toronto, 1998, pp. 377-388.
4. T. Jözefiak, Schur Q functions and cohomology of isotropic Grassmanians, Math. Proc. Cambridge Philas. Soc. 109 (1991) 471-478.
5. C. Malvenuto, C. Reutenauer, Duality between quasi-symmetric functions and the Solomon descent algebra, J. Algebra 177 (1995) 967-982.
6. P. Pragacz, Algebro-Geomètric Applications of Schur S- and Q- Polynomials, Topics in Invariant Thoery, Séminaire d'Algèbre Dubreil-Malliavin 1989-1990, Springer, Berlin, 1991, pp. 130-191.
7. I. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen, J. Reine Angew. Math. 139 (1911) 155-250.
8. A.N. Sergeev, The tensor algebra of the identity representation as a module over the Lie superalgebras gl(n,m) and Q(n), Math. USSR Sbornik 51 (1985) 419-427.
9. N.J.A. Sloane, An on-line version of the Encyclopedia of integer sequences, Electron. J. Combin. 1 (1994) Fl. http://akpublic.research.att.com/njas/sequences/ol.html.
10. J. Stembridge, Enriched P-partitions, Trans. AMS 349 (1997) 763-788.