Publications Citing Sage-Combinat

Sage-Combinat is a software project whose mission statement is: to improve the open source mathematical system Sage as an extensible toolbox for computer exploration in algebraic combinatorics, and foster code sharing between researchers in this area. Sage-Combinat was formerly known as MuPAD-Combinat. See also the list of publications citing MuPAD-Combinat.

Below is a list of publications that cite the algebraic combinatorics framework developed by the Sage-Combinat team. This list is also available in BibTeX format. The publications listed in each section are sorted in chronological order. Where two or more items are published in the same year, these items are sorted alphabetically by the authors' last names.

Articles

  1. Dan Drake and Jang Soo Kim. k-distant Crossings and Nestings of Matchings and Partitions. Proceedings of the 21st International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AK, pages 351--362, 2009.
  2. Ghislain Fourier, Masato Okado, and Anne Schilling. Kirillov-Reshetikhin crystals for nonexceptional types. Advances in Mathematics, volume 222, number 3, pages 1080--1116, 2009.
  3. Tom Denton. A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of S_N. Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AN, pages 701--712, 2010.
  4. Dan Drake. Bijections from Weighted Dyck Paths to Schröder Paths. Journal of Integer Sequences, volume 13, number 9, pages 10.9.2, 2010.
  5. Ghislain Fourier, Masato Okado, and Anne Schilling. Perfectness of Kirillov-Reshetikhin Crystals for Nonexceptional Types. Contemporary Mathematics, volume 506, pages 127--143, 2010.
  6. Florent Hivert, Anne Schilling, and Nicolas M. Thiéry. The biHecke Monoid of A Finite Coxeter Group. Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AN, pages 307--318, 2010.
  7. Brant Jones and Anne Schilling. Affine Structures and a Tableau Model for E_6 Crystals. Journal of Algebra, volume 324, number 9, pages 2512--2542, 2010.
  8. Thomas Lam, Anne Schilling, and Mark Shimozono. K-theory Schubert Calculus of the Affine Grassmannian. Compositio Mathematica, volume 146, number 4, pages 811--852, 2010.
  9. Jean-Christophe Novelli, Franco Saliola, and Jean-Yves Thibon. Representation theory of the higher-order peak algebras. Journal of Algebraic Combinatorics, volume 32, number 4, pages 465--495, 2010.
  10. Anne Schilling and Qiang Wang. Promotion Operator on Rigged Configurations of Type A. The Electronic Journal of Combinatorics, volume 17, number 1, pages R24, 2010.
  11. Jason Bandlow, Anne Schilling, and Mike Zabrocki. The Murnaghan-Nakayama rule for k-Schur functions. Journal of Combinatorial Theory, Series A, volume 118, number 5, pages 1588--1607, 2011.
  12. Jason Bandlow, Anne Schilling, and Mike Zabrocki. The Murnaghan-Nakayama rule for k-Schur functions. Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AO, pages 99--110, 2011.
  13. Daniel Bump and Maki Nakasuji. Casselman's Basis of Iwahori Vectors and the Bruhat Order. Canadian Journal of Mathematics, volume 63, pages 1238--1253, 2011.
  14. Tom Denton, Florent Hivert, Anne Schilling, and Nicolas M. Thiéry. The representation theory of J-trivial monoids. Séminaire Lotharingien de Combinatoire, volume 64, pages B64d, 2011.
  15. Gregg Musiker and Christian Stump. A Compendium on the Cluster Algebra and Quiver Package in Sage. Séminaire Lotharingien de Combinatoire, volume 65, number , pages B65d, 2011.
  16. Viviane Pons. Multivariate Polynomials in Sage. Séminaire Lotharingien de Combinatoire, volume 66, number 7, pages B66z, 2011.
  17. Anne Schilling and Peter Tingley. Demazure crystals and the energy function. Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AO, pages 861--872, 2011.
  18. Chris Berg, Nantel Bergeron, Steven Pon, and Mike Zabrocki. Expansions of k-Schur Functions in the Affine nilCoxeter Algebra. Electronic Journal of Combinatorics, volume 19, number 2, pages P55, 2012.
  19. Valentin Féray and Pierre-Loïc Méliot. Asymptotics of q-plancherel measures. Probability Theory and Related Fields, volume 152, pages 589--624, 2012.
  20. Jennifer Morse and Anne Schilling. A combinatorial formula for fusion coefficients. Proceedings of the 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012). Discrete Mathematics & Theoretical Computer Science, volume AR, pages 735--744, 2012.
  21. Anne Schilling and Peter Tingley. Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function. The Electronic Journal of Combinatorics, volume 19, number 2, pages P4, 2012.
  22. Cristian Lenart and Anne Schilling. Crystal energy functions via the charge in types A and C. Mathematische Zeitschrift, volume 273, number 1-2, pages 401--426, 2013.
  23. Masato Okado, Reiho Sakamoto, and Anne Schilling. Affine crystal structure on rigged configurations of type D_n^(1). Journal of Algebraic Combinatorics, volume 37, number 3, pages 571--599, 2013.

Theses

  1. Nicolas Borie. Calculate invariants of permutation groups by Fourier Transform. PhD thesis, Laboratoire de mathématiques d'Orsay, University of Paris-Sud 11, Orsay, France, 2011.
  2. Tom Denton. Excursions into Algebra and Combinatorics at q=0. PhD thesis, Department of Mathematics, University of California, Davis, USA, 2011.

Books

  1. Thomas Lam, Luc Lapointe, Jennifer Morse, Anne Schilling, Mark Shimozono, and Mike Zabrocki. k-Schur functions and affine Schubert calculus. arxiv, 2013.

Preprints

  1. Nicolas M. Thiéry. Sage-Combinat, Free and Practical Software for Algebraic Combinatorics. Software demonstration, FPSAC'09, Hagenberg, Austria, 2009.
  2. Steven Pon. Affine Stanley symmetric functions for classical types. arXiv:1111.3312, 2011.
  3. Arvind Ayyer, Steven Klee, and Anne Schilling. Combinatorial Markov chains on linear extensions. arXiv:1205.7074, 2012.
  4. Chris Berg, Nantel Bergeron, Franco Saliola, Luis Serrano, and Mike Zabrocki. A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions. arXiv:1208.5191, 2012.
  5. Chris Berg, Nantel Bergeron, Hugh Thomas, and Mike Zabrocki. Expansion of k-Schur functions for maximal k-rectangles within the affine nilCoxeter algebra. arXiv:1107.3610, 2012.
  6. Tom Denton. Canonical Decompositions of Affine Permutations, Affine Codes, and Split k-Schur Functions. arXiv:1204.2591, 2012.
  7. Florent Hivert, Anne Schilling, and Nicolas M. Thiéry. The biHecke monoid of a finite Coxeter group and its representations. arXiv:1012.1361, 2012.
  8. Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, and Mark Shimozono. A uniform model for Kirillov-Reshetikhin crystals. Extended abstract. arXiv:1211.6019, 2012.
  9. Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, and Mark Shimozono. A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph. arXiv:1211.2042, 2012.
  10. Tomoki Nakanishi and Salvatore Stella. Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type. arXiv:1210.6299, 2012.
  11. Arvind Ayyer, Anne Schilling, Benjamin Steinberg, and Nicolas M. Thiery. Directed nonabelian sandpile models on trees. arXiv:1305.1697, 2013.

Citing Sage-Combinat

If you use Sage-Combinat in a book, paper, website, etc., please email the webmaster and the Sage-Combinat team. Please reference Sage-Combinat as described here.
Also, be sure to find out which components of Sage, e.g. NumPy, PARI, GAP, that your calculation uses and properly attribute those systems. If you are unsure, ask on the sage-support mailing list. Similarly, consider finding out who wrote the Sage code you are using and acknowledge them explicitly as well.