The SF Package. SF is a package of 25 Maple programs that provide an environment for computations involving symmetric functions and related structures, such as the characters of the symmetric groups. It has facilities for converting expressions from one symmetric function basis to another, for applying standard operations such as scalar products, inner tensor (or Kronecker) products, and plethysm. Beginning with Version 2.0, it has general facilities for adding user-defined bases to the environment, such as Hall-Littlewood functions, zonal polynomials, or Macdonald’s two-parameter symmetric functions.

References in zbMATH (referenced in 41 articles )

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  1. Ginory, Alejandro; Kim, Jongwon: Weingarten calculus and the package for integrals over compact matrix groups (2021)
  2. Jiu, Lin; Koutschan, Christoph: Calculation and properties of zonal polynomials (2020)
  3. Barnard, Emily: The canonical join complex (2019)
  4. Reading, Nathan: Lattice homomorphisms between weak orders (2019)
  5. Alexandersson, Per; Haglund, Jim; Wang, George: On the Schur expansion of Jack polynomials (2018)
  6. Barnard, Emily; Reading, Nathan: Coxeter-bicatalan combinatorics (2018)
  7. La Scala, Roberto; Tiwari, Sharwan K.: Multigraded Hilbert series of noncommutative modules (2018)
  8. Petersen, T. Kyle: A two-sided analogue of the Coxeter complex (2018)
  9. Zhou, Yue; Lu, Jia; Fu, Houshan: Leading coefficients of Morris type constant term identities (2017)
  10. Alejandro Ginory, Jongwon Kim: Weingarten Calculus and the IntHaar Package for Integrals over Compact Matrix Groups (2016) arXiv
  11. Chaudhuri, Chitrabhanu: Equivariant cohomology of certain moduli of weighted pointed rational curves (2016)
  12. Makam, Visu: Hilbert series and degree bounds for matrix (semi-)invariants (2016)
  13. Garoufalidis, Stavros; Koutschan, Christoph: Irreducibility of (q)-difference operators and the knot (7_4) (2013)
  14. Ottaviani, Giorgio; Sturmfels, Bernd: Matrices with eigenvectors in a given subspace (2013)
  15. Nazarov, Anton: \textttAffine.m -- \textttMathematicapackage for computations in representation theory of finite-dimensional and affine Lie algebras (2012)
  16. Briand, Emmanuel; Orellana, Rosa; Rosas, Mercedes: The stability of the Kronecker product of Schur functions (2011)
  17. Gessel, Ira M.; Li, Ji: Enumeration of point-determining graphs (2011)
  18. Gutschwager, Christian: Generalised stretched Littlewood-Richardson coefficients (2011)
  19. Gutschwager, Christian: On principal hook length partitions and Durfee sizes in skew characters (2011)
  20. Chaiken, Seth; Hanusa, Christopher R. H.; Zaslavsky, Thomas: Nonattacking queens in a rectangular strip (2010)

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