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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeDec 25th 2013
   • (edited Dec 25th 2013)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexUnder construction [[transvection]]. Additional material welcome, but please do not reformat (nor adding weight of whistles like FTOC) yet, otherwise t will be harder (with half-working laptop and slow internet) for me to continue working on the page. The entry should reflect transvections in the geometry of vector spaces, various linear algebraic and projective groups, but also transvections in nonlinear situations like [[symmetric space]]s and algebraic counterparts like those in theory of [[quandle]]s and finite combinatorial geometries.

   Under construction transvection. Additional material welcome, but please do not reformat (nor adding weight of whistles like FTOC) yet, otherwise t will be harder (with half-working laptop and slow internet) for me to continue working on the page.

   The entry should reflect transvections in the geometry of vector spaces, various linear algebraic and projective groups, but also transvections in nonlinear situations like symmetric spaces and algebraic counterparts like those in theory of quandles and finite combinatorial geometries.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeSep 22nd 2022
   • PermaLink
   Author: zskoda
   Format: MarkdownItexFew improvements, corrections to links and reference * Hans Cuypers. Anja Steinbach, _Linear transvection groups and embedded polar spaces_, Invent. math. __137__, 169--198 (1999) [doi](https://doi.org/10.1007/s002220050328) <a href="https://ncatlab.org/nlab/revision/diff/transvection/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/transvection/2">v2</a>, <a href="https://ncatlab.org/nlab/show/transvection">current</a>

   Few improvements, corrections to links and reference

   • Hans Cuypers. Anja Steinbach, Linear transvection groups and embedded polar spaces, Invent. math. 137, 169–198 (1999) doi

   diff, v2, current