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 28 articles )

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  1. Chaudhuri, Chitrabhanu: Equivariant cohomology of certain moduli of weighted pointed rational curves (2016)
  2. Makam, Visu: Hilbert series and degree bounds for matrix (semi-)invariants (2016)
  3. Garoufalidis, Stavros; Koutschan, Christoph: Irreducibility of $q$-difference operators and the knot $7_4$ (2013)
  4. Ottaviani, Giorgio; Sturmfels, Bernd: Matrices with eigenvectors in a given subspace (2013)
  5. Nazarov, Anton: Affine.m -- Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras (2012)
  6. Briand, Emmanuel; Orellana, Rosa; Rosas, Mercedes: The stability of the Kronecker product of Schur functions (2011)
  7. Gessel, Ira M.; Li, Ji: Enumeration of point-determining graphs (2011)
  8. Gutschwager, Christian: On principal hook length partitions and Durfee sizes in skew characters (2011)
  9. Chaiken, Seth; Hanusa, Christopher R.H.; Zaslavsky, Thomas: Nonattacking queens in a rectangular strip (2010)
  10. Chen, William Y.C.; Tang, Robert L.; Wang, Larry X.W.; Yang, Arthur L.B.: The $q$-log-convexity of the Narayana polynomials of type $B$ (2010)
  11. El-Mikkawy, Moawwad; Sogabe, Tomohiro: Notes on particular symmetric polynomials with applications (2010)
  12. Gutschwager, Christian: Equality of multiplicity free skew characters (2009)
  13. Binegar, B.: On the evaluation of some Selberg-like integrals (2008)
  14. di Nardo, E.; Guarino, G.; Senato, D.: Symbolic computation of moments of sampling distributions (2008)
  15. Bergström, Jonas; Tommasi, Orsola: The rational cohomology of $\overline\mathcalM_4$ (2007)
  16. Brown, D.R.L.; Jackson, D.M.: A rooted map invariant, non-orientability and Jack symmetric functions (2007)
  17. Dumitriu, Ioana; Edelman, Alan; Shuman, Gene: MOPS: multivariate orthogonal polynomials (symbolically) (2007)
  18. Chyzak, Frédéric; Mishna, Marni; Salvy, Bruno: Effective scalar products of D-finite symmetric functions (2005)
  19. Jin, Yi; Kalantari, Bahman: Symmetric functions and root-finding algorithms (2005)
  20. Haglund, J.: A combinatorial model for the Macdonald polynomials (2004)

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