Abstract
We report on the 2005 AIM workshop “Generalized Kostka Polynomials“, which gathered 20 researchers in the active area of q,t-analogues of symmetric functions. Our goal is to present a typical use-case of the open source package MuPAD-Combinat in a research environment.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Deka, L., Schilling, A.: New fermionic formula for unrestricted Kostka polynomials. Journal of Combinatorial Theory, Series A (to appear) (math.CO/0509194)
Descouens, F.: A generating algorithm for ribbon tableaux. Journal of Automata, Languages and Combinatorics (to appear)
Fuchssteiner, B., et al.: MuPAD User’s Manual - MuPAD Version 1.2.2, 1st edn. John Wiley and sons, Chichester, New York (1996), includes a CD for Apple Macintosh and UNIX
Hivertc, F., Thiéry, N.: MuPAD-Combinat, an open-source package for research in algebraic combinatorics. Sém. Lothar. Combin (electronic) 51, 70 (2004), http://mupad-combinat.sourceforge.net/
Kerov, S., Kirillov, A., Reshetikhin, N.Y.: Combinatorics, the Bethe ansatz and representations of Symmetric group. J. Soviet. Math. 41(2), 916–924 (1988)
Lascoux, A., Leclerc, B., Thibon, J.-Y.: Ribbon tableaux, Hall-Littlewood functions, quantum affine algebras and unipotent varieties. Journal of Mathematical Physics 38, 1041–1068 (1997)
Lascouxc, A., Schützenberger, M.P.: Sur une conjecture de H.O. Foulkes. C.R Acad. Sci. Paris 288, 95–98 (1979)
Macdonald, I.G.: Symmetric functions and Hall polynomials, 2nd edn. Oxford University Press, Oxford (1995)
Lapointe, L., Morse, J.: Schur function identities, their t-analogs, and k-Schur irreducibility. Advances in Math. (2003)
Schilling, A.: X=M Theorem: Fermionic formulas and rigged configurations under review (preprint) (math.QA/0512161)
Schilling, A.: Crystal structure on rigged configurations IMRN (to appear) (math.QA/0508107)
Schilling, A.: q-Supernomial coefficients: From riggings to ribbons. In: Kashiwara, M., Miwa, T. (eds.) MathPhys Odyssey 2001, pp. 437–454. Birkhaeuser Boston, Cambridge, MA (2002) (math.CO/0107214)
Stembridge, J.: Package SF, Posets, Coxeter/Weyl, http://www.math.lsa.umich.edu/~jrs/maple.html
Symmetrica, http://www.mathe2.uni-bayreuth.de/axel/symneu_engl.html
Veigneau, S.: ACE, an Algebraic Combinatorics Environment for the computer algebra system MAPLE: User’s Reference Manual, Version 3.0, http://www-igm.univ-mlv.fr/~/ace/ACE/3.0/ACE.html
Zabrocki, M.: Vertex operators for standard bases of the symmetric functions. Journal of Algebraic Combinatorics, 13(1), 83–101 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Descouens, F. (2006). Making Research on Symmetric Functions with MuPAD-Combinat. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_41
Download citation
DOI: https://doi.org/10.1007/11832225_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38084-9
Online ISBN: 978-3-540-38086-3
eBook Packages: Computer ScienceComputer Science (R0)