especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced...
44 KB (5,611 words) - 02:50, 2 March 2024
is that the associated projective semilinear group PΓL(n, F) (which contains PGL(n, F)) is the collineation group of projective space, for n > 2, and thus...
23 KB (2,965 words) - 00:14, 1 September 2024
SL(2, R) SL(2, C) Modular group (PSL(2, Z)) Projective linear group Conformal map Representations of classical Lie groups Hall 2015 Section 2.5 Hall...
11 KB (1,481 words) - 01:34, 27 July 2024
mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group P G L (...
25 KB (4,250 words) - 11:35, 23 May 2024
one-dimensional linear subspaces of a two-dimensional vector space over the reals. The automorphisms of a real projective line are called projective transformations...
12 KB (1,636 words) - 08:26, 28 July 2024
a field, a linear fractional transformation is the restriction to the field of a projective transformation or homography of the projective line. When...
12 KB (1,701 words) - 22:13, 2 September 2024
the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...
51 KB (6,625 words) - 03:10, 5 February 2024
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...
39 KB (5,094 words) - 06:40, 31 August 2024
Homography (redirect from Projective linear transformation)
In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...
30 KB (3,641 words) - 01:24, 25 February 2024
Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3. This theorem generalizes to projective groups of higher dimensions...
22 KB (2,985 words) - 10:42, 28 March 2023