Signed words and permutations, II; the Euler-mahonian polynomials

Electronic Journal of Combinatorics

Volumn 11, Issue 2 R, 2005, Pages 1-18

  Foata, Dominique ^a   Han, Guo Niu ^b  

^a Institut Lothaire   (France)

^b UNIVERSITÉ LOUIS PASTEUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750339072     PISSN: 10778926     EISSN: 10778926     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. [AR01] Ron M. Adin and Yuval Roichman, The flag major index and group actions on polynomial rings, Europ. J. Combin., vol. 22, 2001, p. 431-446.
2. [ABR01] Ron M. Adin, Francesco Brenti and Yuval Roichman, Descent Numbers and Major Indices for the Hyperoctahedral Group, Adv. in Appl. Math., vol. 27, 2001, p. 210-224.
3. [BjW88] Anders Björner and Michelle L. Wachs, Permutation Statistics and Linear Extensions of Posets, J. Combin. Theory, Ser. A, vol. 58, 1991, p. 85-114.
4. [Bo68] N. Bourbaki, Groupes et algèbres de Lie, chap. 4, 5, 6. Hermann, Paris, 1968.
5. [ChGe04] Chak-On Chow and Ira M. Gessel, On the Descent Numbers and Major Indices for the Hyperoctahedral Group, Manuscript, 18 p., 2004.
6. [DaBa62] F. N. David and D. E. Barton, Combinatorial Chance. London, Charles Griffin, 1962.
7. [Fo68] Dominique Foata, On the Netto inversion of a sequence, Proc. Amer. Math. Soc., vol. 19, 1968, p. 236-240.
8. [FoHa05] Dominique Foata and Guo-Niu Han, Signed Words and Permutations, I; a Fundamental Transformation, 2005.
9. [GaRa90] George Gasper and Mizan Rahman, Basic Hypergeometric Series. London, Cambridge Univ. Press, 1990
10. (Encyclopedia of Math. and Its Appl., 35).
11. [HLR04] J. Haglund, N. Loehr and J. B. Remmel, Statistics on Wreath Products, Perfect Matchings and Signed Words, Manuscript, 49 p., 2004.
12. [Hu90] James E. Humphreys, Reflection Groups and Coxeter Groups. Cambridge Univ. Press, Cambridge (Cambridge Studies in Adv. Math., 29), 1990.
13. [Re93a] V. Reiner, Signed permutation statistics, Europ. J. Combinatorics, vol. 14, 1993, p. 553-567.
14. [Re93b] V. Reiner, Signed permutation statistics and cycle type, Europ. J. Combinatorics, vol. 14, 1993, p. 569-579.
15. [Re93c] V. Reiner, Upper binomial posets and signed permutation statistics, Europ. J. Combinatorics, vol. 14, 1993, p. 581-588.
16. [Re95a] V. Reiner, Descents and one-dimensional characters for classical Weyl groups, Discrete Math., vol. 140, 1995, p. 129-140.
17. [Re95b] V. Reiner, The distribution of descents and length in a Coxeter group, Electronic J. Combinatorics, vol. 2, 1995, # R25.
18. [St72] Richard P. Stanley, Ordered structures and partitions. Mem. Amer. Math. Soc. no. 119, Amer. Math. Soc., Providence, 1972.