SF swMATH ID: 7774 Software Authors: Stembridge, J Description: 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. Homepage: http://www.math.lsa.umich.edu/~jrs/maple.html Dependencies: Maple Related Software: Maple; coxeter; posets; OEIS; Mathematica; IntU; IntHaar; HolonomicFunctions; gfun; ACE; hgm R; DLMF; SageMath; Letterplace; ncHilb; SINGULAR; ROBBINS; Affine.m; LambdaTensor; Affine Cited in: 42 Publications all top 5 Cited by 66 Authors 3 Gutschwager, Christian 2 Barnard, Emily 2 Gessel, Ira Martin 2 Haglund, James 2 Jackson, David M. 2 Koutschan, Christoph 2 Reading, Nathan 2 Stembridge, John R. 1 Alexandersson, Per 1 Berele, Allan 1 Bergström, Jonas 1 Binegar, Birne 1 Briand, Emmanuel 1 Brown, Daniel R. L. 1 Chaiken, Seth 1 Chaudhuri, Chitrabhanu 1 Chen, William Yong-Chuan 1 Chyzak, Frédéric 1 Di Nardo, Elvira 1 Dumitriu, Ioana 1 Edelman, Alan Stuart 1 El-Mikkawy, Moawwad E. A. 1 Faugère, Jean-Charles 1 Fu, Houshan 1 Garoufalidis, Stavros 1 Getzler, Ezra 1 Ginory, Alejandro 1 Goulden, Ian P. 1 Guarino, Giuseppe 1 Hanusa, Christopher R. H. 1 Hering, Milena 1 Jin, Yi 1 Jiu, Lin 1 Kalantari, Bahman 1 Kauers, Manuel 1 Kim, Jongwon 1 La Scala, Roberto 1 Letac, Gérard G. 1 Li, Ji 1 Li, Xin 1 Lu, Jia 1 Makam, Visu 1 Massam, Helene M. 1 Mishna, Marni 1 Nazarov, Anton A. 1 Orellana, Rosa C. 1 Ottaviani, Giorgio Maria 1 Petersen, T. Kyle 1 Phan, Jeff 1 Prosper, Vincent 1 Rosas, Mercedes Helena 1 Salvy, Bruno 1 Senato, Domenico 1 Shuman, Gene 1 Sogabe, Tomohiro 1 Sturmfels, Bernd 1 Tang, Robert L. 1 Tefera, Akalu 1 Tiwari, Sharwan Kumar 1 Tommasi, Orsola Paola Maria 1 Wang, George H. K. 1 Wang, Larry X. W. 1 Willenbring, Jeb F. 1 Yang, Arthur L. B. 1 Zaslavsky, Thomas 1 Zhou, Yue all top 5 Cited in 24 Serials 4 Journal of Algebra 4 Journal of Combinatorial Theory. Series A 4 Advances in Applied Mathematics 4 Journal of Symbolic Computation 4 The Electronic Journal of Combinatorics 2 Journal of Algebraic Combinatorics 2 Annals of Combinatorics 1 Computer Physics Communications 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Scandinavian Journal of Statistics 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Computational Statistics and Data Analysis 1 Séminaire Lotharingien de Combinatoire 1 Algebraic & Geometric Topology 1 Mathematics in Computer Science all top 5 Cited in 26 Fields 22 Combinatorics (05-XX) 9 Group theory and generalizations (20-XX) 6 Algebraic geometry (14-XX) 6 Special functions (33-XX) 6 Computer science (68-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 3 Numerical analysis (65-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year