User:Fropuff
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Personal Info
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“I like the cover,” he said. “ ‘Don't Panic.’ It's the first helpful or intelligible thing anybody's said to me all day.” — H2G2.
Contributions
Pages that I have started and/or contributed significantly to — "significantly" being a completely and totally subjective term:
120-cell - 24-cell - 3-sphere - adjunction space - almost complex manifold - bilinear form - cardinality of the continuum - category of groups - classification of Clifford algebras - Clifford algebra - cross-polytope - coequalizer - cohomology ring - compactly generated space - completely Hausdorff space - convex regular 4-polytopes - coordinate space - cotangent space - Counterexamples in Topology - cover (topology) - Darboux's theorem - direct limit - discrete category - discrete group - disjoint union - disjoint union (topology) - epimorphism - equivariant - Euclidean space - examples of vector spaces - fiber bundle - final topology - first-countable space - full functor - functor - general linear group - Georgi-Glashow model - graded algebra - group action - Hopf link - index set - initial topology - kernel (mathematics) - Killing vector field - knot group - Lie superalgebra - limit (category theory) - linear complex structure - list of string theory topics - Lorentz covariance - Lorentz group - metric signature - Minkowski space - monoid - monomorphism - morphism - octonion - open and closed maps - orientation (mathematics) - path (topology) - Pfaffian - pointed space - principal bundle - pseudo-Riemannian manifold - pullback - pullback (category theory) - pullback bundle - pushout (category theory) - quadratic form - quasigroup - quotient space - quotient space (linear algebra) - real projective space - relativistic mass - rotation group - second-countable space - semiring - sesquilinear form - signature (mathematics) - skew-symmetric matrix - spin group - split-complex number - Stiefel manifold - string (computer science) - suspension (topology) - symplectic group - symplectic matrix - symplectic vector space - table of Lie groups - tangent half-angle formula - tangent space - tensor algebra - torus knot - universal property - Weyl curvature -
Links
Mathematics and physics links
- List of physics topics (A-E, F-L, M-Q, R-Z)
| List of mathematical topics 0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Subtopics | Mathematicians |
- WikiProject Mathematics (Talk)
- Wikiportal Mathematics (Talk)
- Requested articles: mathematics
- Pages needing attention: mathematics
- Mathematics COTW
Editing
- Wikipedia:How to edit a page -- Wikipedia:Style and How-to Directory -- Wikipedia:Manual of Style -- Wikipedia:Guide to Layout -- Wikipedia:Utilities -- Wikipedia:How to use tables
Tasklist
Articles needing attention
- /Spheres
- /Algebras
- orientability and orientable manifold should be merged. See also orientation (mathematics). Should we have one page for nonorientable surfaces and another for orientable manifolds, or should the two be discussed in the same article?
- exponential map should also discuss the Lie group/algebra case
- representable functor
- Lorentz transformation needs to be reworked
- compact set needs to be merged into compact space and Heine-Borel theorem
- Witt algebra and Virasoro algebra need some work
- knot polynomial and skein relation need to be cleaned up
- root system should define the root sytem of a simple Lie algebra (the primary example)
- Think about separating simple Lie algebra from simple Lie group; correct the definition of the latter
- lattice (group) could use some clean-up and additions (e.g. when are two lattices defined by different bases equivalent)
- Möbius transformation needs some clean-up
- describe canonical trivializations and local sections for principal bundles
- Lie subgroup definition
Articles needing content
Stubs needing expansion:
- affine Lie algebra -- current algebra -- matrix ring -- nonlinear sigma model -- spinor group -- topological property
Redirects that need their own articles:
- knot sum -- simplicial homology -- SU(2) -- SU(3) -- submanifold
Red links or articles I'd like to write if I had more time:
- Algebra
- binary polyhedral group -- binary dihedral group -- binary tetrahedral group -- binary octahedral group -- binary icosahedral group -- generalized inner product space -- interior product -- multivector -- quaternionic linear group -- Sp(1) -- split-octonion -- split-quaternion
- Category theory
- category of categories -- category of modules -- exponential object -- free category -- Hom functor -- quotient category --
- Geometry and topology
- cellular homology -- complex coordinate space -- dual vector bundle -- Euler class -- figure-eight space -- flow (geometry) -- Fubini-Study metric -- Hodge-Laplacian -- holomorphic line bundle -- holomorphic vector bundle -- join (topology) -- Liouville form -- Kleinian singularity -- moment map -- normal bundle -- orientation form -- quaternionic coordinate space -- quaternionic projective space -- subbundle -- symplectic reduction -- Weitzenböck formula --
- Knot theory
- braid word -- closed braid -- Kauffman bracket -- knot diagram -- link diagram -- rational knot -- satellite knot -- slice knot -- tangle diagram -- tangle theory -- torus link -- trivial link -- unlink --
- Physics
- conformal primary field -- Verlinde formula --
Drafts in progress
- /Drafts
- /Draft 2 (hyperbolic plane)
- /Draft 3 (n-sphere)
- /Draft 4 (category theory stuff)
- /Draft 5 (inverse trigonometric function)
- /Notes
Old stuff