Lecture Notes in Mathematics, 85, Berlin, Springer-Verlag,
1969
Pierre Cartier, Dominique Foata
Problèmes
combinatoires de commutation et réarrangements
with three appendices by D. Foata, B. Lass and Ch. Krattenthaler
Abstract.This monograph, published in 1969, has been retyped
with TeX and made available on the web with the kind permission of
Springer-Verlag. This on-line version has an ouput of 81 pages.
Written in French it contains the following items:
- 1. Introduction
- 2. Monoids defined by commutation relations
- 3. Möbius function of a monoid
- 4. Circuits in a graph
- 5. Rearrangements of sequences
- 6. MacMahon's "Master Theorem"
- 7. Relations between binomial coefficients
- 8. Probabilistic applications
- References
- Index of notations
as well as the three appendices loaded in 2006
- First appendix: Inversions de Möbius (D. Foata)
- Second appendix: Le polynôme chromatiquel (B. Lass)
- Third appendix: The theory of heaps and the Cartier--Foata monoid (Ch. Krattenthaler)
foata@unistra.fr
The following versions are available: