coxeter swMATH ID: 7772 Software Authors: Stembridge, J.R Description: The coxeter and weyl Packages. The coxeter package contains 38 Maple procedures for working with root systems and finite Coxeter groups. It provides facilities for manipulating roots, reflections, reduced expressions, for generating permutation representations and irreducible characters of finite Coxeter groups, and for retrieving information such as one finds in the appendices of Bourbaki. The weyl subpackage provides 12 additional procedures for manipulating weights and characters of irreducible representations of semisimple Lie algebras, including functions for computing weight multiplicities, tensor product decompositions, and branching. Homepage: http://www.math.lsa.umich.edu/~jrs/maple.html Dependencies: Maple Related Software: posets; SF; Maple; LiE; Letterplace; ncHilb; SINGULAR; OEIS; gfun; Affine.m; LambdaTensor; Affine; Mathematica; CHEVIE; polymake; SYMMETRICA; crystal Cited in: 22 Publications all top 5 Cited by 21 Authors 5 Krattenthaler, Christian Friedrich 3 Stembridge, John R. 2 Barnard, Emily 2 Hultman, Axel 2 Müller, Thomas W. 2 Reading, Nathan 1 Armstrong, Drew 1 Blanco, Saúl A. 1 Drton, Mathias 1 Helminck, Aloysius G. 1 Joyner, David 1 Klivans, Caroline J. 1 La Scala, Roberto 1 Martin, Roland 1 Nazarov, Anton A. 1 Orsina, Luigi 1 Papi, Paolo 1 Petersen, T. Kyle 1 Petrov, Viktor 1 Semenov, Nikita 1 Tiwari, Sharwan Kumar all top 5 Cited in 15 Serials 3 Journal of Algebraic Combinatorics 3 The Electronic Journal of Combinatorics 2 Duke Mathematical Journal 1 Computer Physics Communications 1 Advances in Mathematics 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIGSAM Bulletin 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Séminaire Lotharingien de Combinatoire 1 Representation Theory all top 5 Cited in 10 Fields 15 Group theory and generalizations (20-XX) 12 Combinatorics (05-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 5 Nonassociative rings and algebras (17-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) Citations by Year