A class of labeled posets and the shi arrangement of hyperplanes

Journal of Combinatorial Theory. Series A

Volumn 80, Issue 1, 1997, Pages 158-162

  Athanasiadis, Christos A ^a  

^a MATHEMATICAL SCIENCES RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031257821     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1997.2793     Document Type: Article

References (10)

1. 1. C. A. Athanasiadis and S. Linusson, A simple bijection for the regions of the Shi arrangement of hyperplanes, MSRI Preprint No. 1997-020, February, 1997.
2. n dissected by hyperplanes, Trans. Amer. Math. Soc. 283 (1984), 617-631.
3. 3. I. Gessel and D.-L. Wang, Depth-first search as a combinatorial correspondence, J. Combin. Theory Ser. A 26 (1979), 308-313.
4. 4. M. D. Haiman, Conjectures on the quotient ring by diagonal invariants, J. Algebraic Combin. 3 (1994), 17-76.
5. 5. G. Kreweras, Une famille de polynômes ayant plusieurs propriétés énumératives, Period. Math. Hungar. 11 (1980), 309-320.
6. 6. C. L. Mallows and J. Riordan, The inversion enumerator for labeled trees, Bull. Amer. Math. Soc. 74 (1968), 92-94.
7. 7. J.-Y. Shi, "The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups," Lecture Notes in Mathematics, Vol. 1179, Springer-Verlag, Berlin/Heidelberg/New York, 1986.
8. 8. R. Stanley, "Enumerative Combinatorics," Vol. 1, Wadsworth & Brooks/Cole, Belmont, CA, 1992.
9. 9. R. Stanley, Hyperplane arrangements, interval orders and trees, Proc. Nat. Acad. Sci. 93 (1996), 2620-2625.
10. 10. R. Stanley, Hyperplane arrangements, parking functions and tree inversions, in "Mathematical Essays in Honor of Gian-Carlo Rota," Birkhäuser, Boston/Basel/Berlin, to appear.