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Monodromy
Monodromy In mathematics, monodromy is the study of how objects from ... round' a singularity. As the name implies, monodromy's fundamental meaning comes from 'running round ... into ramification; the aspect giving rise to monodromy phenomena is that certain functions we may ... path encircling a singularity. The failure of monodromy is best measured by defining a ...
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Group theory
Group theory Group theory is that branch of mathematics concerned ... groups. Please refer to the Glossary of group theory for the definitions of terms used throughout group theory. See also list of group theory topics. History There are three ...
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Braid group
Braid group In mathematics, the braid group on n strands, denoted by B n , is a certain group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group S n . Here, n is a natural ... 1, then B n is an infinite group . Braid groups were introduced explicitly by ...
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Talk:Lorentz group/Archive
Talk:Lorentz group/Archive < Talk:Lorentz group ToDo To do: add section on Lie ... and one on representations of the Lorentz group. Discuss relationship of the Lorentz group to special and general relativity. -- Fropuff 16 ... It is a 6-dimensional noncompact Lie group which is neither connected, nor simply ...
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Covering map
... fiber has n elements. If G is group (considered as a discrete topological group), then every principal G-bundle is a ... holomorphic map if X is a Lie group (as in the two examples above), then ... universal cover is also called universal covering group. This has particular application to representation theory ... since ordinary representations of the universal covering group (D) are projective representations of the ...
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Hypergeometric differential equation
... functions of automorphic functions for the triangle group Monodromy group The monodromy of a hypergeometric equation describes how fundamental ... other by a linear transformation; thus the monodromy is a mapping (group homomorphism): |
Principal bundle
... known as principal homogeneous spaces) for the group action of a topological group G. Principal G-bundles are G-bundles in the sense that the group G also serves as the structure group of the bundle. Principal bundles have important ... sense that all fiber bundles with structure group G determine a unique principal G- ...
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User:Charles Matthews/New - mathematics
... of abelian varieties - Local zeta-function - Algebraic group - Linear algebraic group - Flag manifold - Congruence subgroup - Weil restriction - Algebraic ... Homogeneous space - Principal homogeneous space - Semisimple Lie group decompositions - Integral geometry - Several complex variables - Value ... algebra Tensor field - Foliation - Diagonal - Free abelian group - Group ring - Group algebra - Regular representation - Induced ...
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List of mathematics articles (M-O)
... Map (mathematics) -- Map projection -- Mapping -- Mapping class group -- Mapping cone -- Mapping cylinder -- Mapping torus -- Marcinkiewicz ... Mathematisches Forschungsinstitut Oberwolfach -- Mathie -- Mathieu function -- Mathieu group -- MathML -- MathWorld -- Matiyasevich's theorem -- Matrix addition ... Matrix congruence -- Matrix decomposition -- Matrix exponential -- Matrix group -- Matrix inversion -- Matrix (mathematics) -- Matrix method -- Matrix ... Mertens function -- Mertens' theorems -- Meta-analysis -- Metabelian group -- Metabiaugmented dodecahedron -- Metabiaugmented hexagonal prism -- Metabiaugmented truncated ... diminished rhombicosidodecahedron -- Metaheuristic -- Metalanguage -- Metalogic -- Metamathematics -- Metaplectic group -- Metaplectomorphism -- Metastability -- Method of analytic tableaux -- ...
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Talk:Poincaré conjecture
... boundary. Is it possible that the fundamental group of V could be trivial, even though ... UTC) Poincare's invention of the fundamental group Regarding: He then applied another tool, called the fundamental group. He wondered if a 3-manifold with trivial fundamental group had to be a 3-sphere. which ... was that his invention of the fundamental group was motivated by desire to get ...
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