The GAP3 Manual -- Chapters
- About GAP
- The Programming Language
- Environment
- Domains
- Rings
- Fields
- Groups
- Operations of Groups
- Vector Spaces
- Integers
- Number Theory
- Rationals
- Cyclotomics
- Gaussians
- Subfields of Cyclotomic Fields
- Algebraic extensions of fields
- Unknowns
- Finite Fields
- Polynomials
- Permutations
- Permutation Groups
- Words in Abstract Generators
- Finitely Presented Groups
- Words in Finite Polycyclic Groups
- Finite Polycyclic Groups
- Special Ag Groups
- Lists
- Sets
- Boolean Lists
- Strings and Characters
- Ranges
- Vectors
- Row Spaces
- Matrices
- Integral matrices and lattices
- Matrix Rings
- Matrix Groups
- Group Libraries
- Algebras
- Finitely Presented Algebras
- Matrix Algebras
- Modules
- Mappings
- Homomorphisms
- Booleans
- Records
- Combinatorics
- Tables of Marks
- Character Tables
- Generic Character Tables
- Characters
- Maps and Parametrized Maps
- Character Table Libraries
- Class Functions
- Monomiality Questions
- Getting and Installing GAP
- Share Libraries
- ANU Pq
- Automorphism Groups of Special Ag Groups
- Cohomology
- CrystGap--The Crystallographic Groups Package
- The Double Coset Enumerator
- GLISSANDO
- Grape
- GRIM (Groups of Rational and Integer Matrices)
- GUAVA
- KBMAG
- The Matrix Package
- The MeatAxe
- The Polycyclic Quotient Algorithm Package
- Sisyphos
- Decomposition numbers of Hecke algebras of type A
- Vector Enumeration
- AREP
- Monoids and Semigroups
- Binary Relations
- Transformations
- Transformation Monoids
- Actions of Monoids
- XMOD
- The CHEVIE Package Version 4 -- a short introduction
- Reflections, and reflection groups
- Coxeter groups
- Finite Reflection Groups
- Root systems and finite Coxeter groups
- Algebraic groups and semi-simple elements
- Classes and representations for reflection groups
- Reflection subgroups
- Garside and braid monoids and groups
- Cyclotomic Hecke algebras
- Iwahori-Hecke algebras
- Representations of Iwahori-Hecke algebras
- Kazhdan-Lusztig polynomials and bases
- Parabolic modules for Iwahori-Hecke algebras
- Reflection cosets
- Coxeter cosets
- Hecke cosets
- Unipotent characters of finite reductive groups and Spetses
- Eigenspaces and $d$-Harish-Chandra series
- Unipotent classes of reductive groups
- Unipotent elements of reductive groups
- Affine Coxeter groups and Hecke algebras
- CHEVIE utility functions
- CHEVIE String and Formatting functions
- CHEVIE Matrix utility functions
- Cyclotomic polynomials
- Partitions and symbols
- Signed permutations
- CHEVIE utility functions -- Decimal and complex numbers
- Posets and relations
- The VKCURVE package
- Multivariate polynomials and rational fractions
- The VKCURVE functions
- Some VKCURVE utility functions
- Algebra package --- finite dimensional algebras
References
Index
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gap3-jm
27 Nov 2023