Coxeter swMATH ID: 7827 Software Authors: Fokko du CLOUX Description: Coxeter is a computer program for the study of combinatorial aspects of Coxeter group theory, particularly those related to the Bruhat ordering and Kazhdan-Lusztig polynomials. It is written in C++, and should run on the main types of workstation under linux or unix. The current version is now version 3.0, which is now available for beta testing. The main capabilities of the program are the following : Reduced expression and normal form computations; Bruhat ordering; Ordinary Kazhdan-Lusztig polynomials; Kazhdan-Lusztig polynomials with unequal parameters; Inverse Kazhdan-Lusztig polynomials; Cells and W-graphs. Homepage: http://math.univ-lyon1.fr/~ducloux/coxeter/coxeter3/english/coxeter3_e.html Related Software: CHEVIE; GAP; Maple; SageMath; Python; PyCox Cited in: 22 Publications all top 5 Cited by 23 Authors 9 Geck, Meinolf 3 du Cloux, Fokko 2 Lübeck, Frank 2 Marberg, Eric 2 Williamson, Geordie 1 Bonnafé, Cédric 1 Braden, Tom 1 Córdova, Clay 1 Del Zotto, Michele 1 Elias, Benjamin 1 Gaiotto, Davide 1 Guilhot, Jérémie 1 Halls, Abbie 1 Hiss, Gerhard 1 Lockhart, Guglielmo 1 Mackaay, Marco 1 Malle, Gunter 1 Mazorchuk, Volodymyr 1 Miemietz, Vanessa 1 Pfeiffer, Götz 1 Pietraho, Thomas 1 Shao, Shu-Heng 1 Tubbenhauer, Daniel all top 5 Cited in 18 Serials 3 Journal of Algebra 2 Representation Theory 2 Journal of High Energy Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Carpathian Journal of Mathematics 1 Pure and Applied Mathematics Quarterly all top 5 Cited in 10 Fields 20 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year