• GAP

  • Referenced in 2191 articles [sw00320]
  • discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language ... used in research and teaching for studying groups and their representations, rings, vector spaces, algebras ... extend it for your special use. Computer algebra system...
  • Magma

  • Referenced in 2082 articles [sw00540]
  • supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics ... defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs ... number of databases designed to aid computational research in those areas of mathematics which...
  • LiE

  • Referenced in 128 articles [sw01075]
  • perform computations of a Lie group theoretic nature. It focuses on the representation theory ... their Weyl groups and root systems. LiE does not compute directly with elements...
  • TopSpin

  • Referenced in 12 articles [sw00972]
  • detailed in the user manual), uses computational group theory to automatically determine a group...
  • LOOPS

  • Referenced in 35 articles [sw07728]
  • computational tool that integrates standard notions of loop theory with libraries of loops and group...
  • Mincer

  • Referenced in 55 articles [sw09009]
  • field theory for the Schoonschip system. We present a SCHOONSCHIP program for analytical computation ... sufficient to perform four-loop renormalization group calculations within the minimal subtraction scheme in four...
  • Canon

  • Referenced in 3 articles [sw00102]
  • dummy (summed over) indices. Solution method: Computational Group Theory algorithms have been used, specially algorithms...
  • Coxeter

  • Referenced in 18 articles [sw07827]
  • computer program for the study of combinatorial aspects of Coxeter group theory, particularly those related ... following : Reduced expression and normal form computations; Bruhat ordering; Ordinary Kazhdan-Lusztig polynomials; Kazhdan-Lusztig...
  • CCalc

  • Referenced in 68 articles [sw09899]
  • logic described in the paper ”Nonmonotonic causal theories” by Enrico Giunchiglia, Joohyung Lee, Vladimir Lifschitz ... system is being maintained by Texas Action Group at Austin. The semantics of the language ... related to default logic and logic programming. Computationally, CCalc uses ideas of satisfiability planning...
  • BioGAP

  • Referenced in 2 articles [sw08793]
  • Bacterial Genomics and Computational Group Theory. Bacterial genomes can be modelled as permutations of conserved ... trees) can be tackled by use of group-theoretical tools such as the word distance ... finding geodesic words, etc. Most of the groups involved in this research are well-studied ... this talk we describe how the computational tools are used in these biological projects...
  • ETPS

  • Referenced in 142 articles [sw06302]
  • various mathematical activities, promoting development of formal theories in a wide variety of disciplines, deductive ... facility for saving formulas, definitions, and modes (groups of flag settings). The interactive facilities ... inference in specified ways, and the computer handles the details of writing the appropriate lines ... Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, Second Edition, Kluwer Academic...
  • BraidedJunctions

  • Referenced in 1 article [sw23622]
  • paper. The main focus is on computing group theory related information for string junction vectors...
  • XSSR

  • Referenced in 3 articles [sw02306]
  • special purpose computer algebra system for combinatorial group and semigroup theory. It is intended...
  • Atlas of Lie Groups

  • Referenced in 7 articles [sw09356]
  • computational methods. We are also planning to make information about Lie groups and representation theory...
  • MAGNUS

  • Referenced in 3 articles [sw04278]
  • computing with infinite groups. We describe an experimental approach to studying infinite groups using ... Group Theory Cooperative. This approach emphasises infinite groups and partial and experimental computation. These computations...
  • BOXEL

  • Referenced in 1 article [sw03239]
  • twelfth annual ACM symposium on theory of computing, held at Los Angeles, California, April ... Computing Machinery, Special Interest Group on Automata and Computability Theory, with the Cooperation...
  • SaddleDrop

  • Referenced in 8 articles [sw00824]
  • mathematics behind the computer program SaddleDrop. Based upon ideas of a group at Cornell University ... explained as we contrast the well-developed theory of one variable complex dynamics with...
  • Quantum Espresso

  • Referenced in 23 articles [sw06129]
  • computer codes for electronic-structure calculations and materials modeling, based on density-functional theory, plane ... some of the leading materials modeling groups worldwide. Innovation and efficiency are still its main...
  • SONATA

  • Referenced in 18 articles [sw04904]
  • near-ring theory This paper describes the facilities available in a computer system developed ... investigating near-rings. The use of computers to investigate near-rings goes back a long ... well known powerful program for groups. A description of the methods used is given...
  • LieART

  • Referenced in 15 articles [sw08573]
  • frequently encountered in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra ... classical and exceptional Lie algebras. It computes root systems of Lie algebras, weight systems ... output. LieART exploits the Weyl reflection group for most of the calculations, resulting in fast...