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. 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.

Preprints

  1. Nicolas M. Thiéry. Sage-Combinat, Free and Practical Software for Algebraic Combinatorics. Software demonstration, FPSAC'09, Hagenberg, Austria, 2009.
  2. Gregg Musiker and Christian Stump. A compendium on the cluster algebra and quiver package in sage. arXiv:1102.4844, 2011.
  3. Anne Schilling and Peter Tingley. Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function. arXiv:1104.2359, 2011.

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.