2014
22
avril
11:30
Horaire de présentations
lundi 28 avril:
- 10h: Didier
- 11h: Nadia
- 13h: Sébastien
- 14h: Maxime
mercredi 30 avril:
- 10h: Fils
- 11h: Robert
- 12h: Marjan
2014
03
mars
21:15
Feuille de calcul Sage
Vous trouverez un fichier PDF de la feuille de calcul Sage que nous avons créée en classe aujourd'hui dans la section Ressources.
Feuilles de calcul Sage
- 3 mars 2014: monoides de faces (code) et monoides de faces
- 5 mars 2014: monoides de faces 2 (code) et monoides de faces 2
- 5 mars 2014: monoides de compositions (code) et monoides de compositions
- 2 avril 2014: exemple 1, exemple 2, exemple 3, exemple 4, exemple 5
Autres ressources
Wikipédia est devenu une excellente référence pour les Mathématiques (définitions, théorèmes, etc.). Voici quelques articles pertinents:
Soyez prudent lorsque vous consulter d'autres références: les définitions ne sont pas universelles; par exemple, le terme «module irréductible» et souvent utilisé comme synonyme de «module simple».
Voici une liste de sujets potentiels:
Arrangement d'hyperplans
- Point Location in Arrangements of Hyperplanes - Meiser
- Generalized Catalan numbers, Weyl groups and arrangements of hyperplanes - Athanasiadis
- Why the Characteristic Polynomial Factors - Sagan
- The Face Semigroup Algebra of a Hyperplane Arrangement - Saliola
- The module structure of the Solomon-Tits algebra of the symmetric group - Schocker
Arrangement de Shi
- The Shi arrangement and the Ish arrangement - Drew Armstrong and Brendon Rhoades
- A simple bijection for the regions of the Shi arrangement of hyperplanes - Christos A. Athanasiadis, Svante Linusson
- A Labelling of the Faces in the Shi Arrangement - Felipe Rincón
- Hyperplane arrangements and diagonal harmonics - Drew Armstrong
Random walks on Hyperplane arrangements
- Random Walks And Hyperplane Arrangements - K. Brown, P. Diaconis
- Semigroup And Ring Theoretical Methods In Probability - K. Brown
- Rings, Semigroups and Markov Chains - K. Brown
- Random Walks And Plane Arrangements In Three Dimensions - L Billera, K Brown, P Diaconis
- A Combinatorial Description Of The Spectrum For The Tsetlin Library and Generalizations to Hyperplane Arrangements - P Bidigare, P Hanlon, D Rockmore
Card shuffling
- Mathematical Developments From The Analysis Of Riffle Shuffling - P Diaconis
- Spectra of Symmetrized Shuffling Operators - Reiner, Saliola, Welker
- Trailing The Dovetail Shuffle To Its Lair - D Bayer, P Diaconis
Descent Algebras
- Descent Algebras, Hyperplane Arrangements And Shuffling Cards - J. Fulman
- A Decomposition Of Solomons Descent Algebra - A. Garsia, C. Reutenauer
- A Decomposition Of The Descent Algebra Of A Finite Coxeter Group - Bergeron, Bergeron, Howlett, Taylor
- Trees, set compositions and the twisted descent algebra - Frederic Patras, Manfred Schocker
- Generalized Eulerian Numbers and the Topology of the Hessenberg Variety of a Matrix - F. Mari, M. Shayman
Poset topology, groups acting on posets
- Some Aspects Of Groups Acting On Finite Posets - Richard P. Stanley
- On the (co)homology of the partition lattice and the free Lie algebra - Michelle L. Wachs
- Poset Topology: Tools and Applications - Michelle L. Wachs
- The Whitehouse module - S. Whitehouse
Combinatorial Hopf algebras
- Categorification of Hopf algebra of quasisymmetric functions / non-commutative symmetric functions (Noncommutative symmetric functions IV - J-Y Thibon, D. Krob)
- The Grothendieck groups of the 0-Hecke algebras of type A - Jia Huang
- Hopf algebras and Markov chains: two examples and a theory - Persi Diaconis, C. Y. Amy Pang, Arun Ram
Left regular bands
- Poset topology and homological invariants of algebras arising in algebraic combinatorics - Margolis, Saliola, Steinberg
- Semigroups embeddable in hyperplane face monoids - Margolis, Saliola, Steinberg
- Combinatorial Topology and the Global Dimension of Algebras Arising in Combinatorics - Margolis, Saliola, Steinberg
- The Quiver of the Semigroup Algebra of a Left Regular Band - Saliola
Representation theory of finite semigroups
- On the irreducible representations of a finite semigroup - Olexandr Ganyushkin, Volodymyr Mazorchuk, Benjamin Steinberg
- Markov chains, R-trivial monoids and representation theory - Arvind Ayyer, Anne Schilling, Benjamin Steinberg, Nicolas M. Thiery