Stanley Symmetric Functions and Peterson Algebras
作者： Thomas Lam , Luc Lapointe , Jennifer Morse , Anne Schilling , Mark Shimozono
DOI: 10.1007/978-1-4939-0682-6_3
关键词:
摘要: This purpose of this chapter is to introduce Stanley symmetric functions and affine from the combinatorial algebraic point view. The presentation roughly follows three lectures I gave at a conference titled “Affine Schubert Calculus” held in July 2010 Fields Institute Toronto.
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Thomas Lam, Mark Shimozono, From double quantum Schubert polynomials to k-double Schur functions via the Toda lattice arXiv: Combinatorics. ,(2011)
Sara C. Billey, William Jockusch, Richard P. Stanley, Some Combinatorial Properties of Schubert Polynomials Journal of Algebraic Combinatorics. ,vol. 2, pp. 345- 374 ,(1993) , 10.1023/A:1022419800503
Victor Ginzburg, Perverse sheaves on a Loop group and Langlands' duality arXiv: Algebraic Geometry. ,(1995)
Sara Billey, Tao Kai Lam, Vexillary Elements in the Hyperoctahedral Group Journal of Algebraic Combinatorics. ,vol. 8, pp. 139- 152 ,(1998) , 10.1023/A:1008633710118
Thomas Lam, Mark Shimozono, A Little bijection for affine Stanley symmetric functions arXiv: Combinatorics. ,(2006)
Shrawan Kumar, Kac-Moody Groups, their Flag Varieties and Representation Theory ,(2002)
Victor G. Kac, Infinite-Dimensional Lie Algebras idla. pp. 422- ,(1990) , 10.1017/CBO9780511626234
Jennifer Morse, Thomas Lam, Mark Shimozono, Luc Lapointe, k-SHAPE POSET AND BRANCHING OF k-SCHUR FUNCTIONS arXiv: Combinatorics. ,(2010)
Joelle Brichard, The Center of the Nilcoxeter and 0-Hecke Algebras arXiv: Rings and Algebras. ,(2008)
Jason Bandlow, Anne Schilling, Mike Zabrocki, The Murnaghan-Nakayama rule for k-Schur functions Journal of Combinatorial Theory, Series A. ,vol. 118, pp. 1588- 1607 ,(2011) , 10.1016/J.JCTA.2011.01.009