Projective representation
Projective representation In mathematics, in particular in group theory ... space over a field K, then a projective representation is a homomorphism from G to Aut ... described otherwise as a homomorphism to a projective linear group PGL(V). One way ...
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Group representation
Group representation Group representation theory is the branch of mathematics that ... representations as linear transformations of vector spaces. Representation theory is important because it enables many ... algebras; for the rest of this article representation and representation theory will refer only to representation ...
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Projective space
Projective space In mathematics, a projective space is a fundamental construction, obtained from ... a field. They generalise the notion of projective plane, which is constructed from a three-dimensional vector space. Projective spaces are essential to algebraic geometry through the rich field of projective geometry developed in the nineteenth century, ...
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Projective plane
Projective plane In mathematics, a projective plane has two possible definitions, one of ... to the more general, combinatorial definition, a projective plane consists of a set of "lines ... some degenerate cases (see below). Examples A projective plane is an abstract mathematical concept, so ... points" resemble ordinary points. The most common projective plane is the real projective plane, ...
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Projective geometry   (translated from Spanish)
Projective geometry projective geometry it is the study of the group of proyectividades between projective spaces. Be $K$ cuerpo and ... to say, $L(v)$. The projective space $P(V)$ associated to ... K \}. There the essence of a projective space resides: we considered only the ...
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Affine representation
Affine representation An affine representation of a topological (Lie) group G is ... group in dimension n + 1, an affine representation may be thought of as a particular kind of linear representation. We may ask whether a given affine representation has a fixed point in the ...
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Projective space   (translated from French)
Projective space In mathematic , one projective space is a fundamental construction from any espace vectorial . Synopsis Details Projective space generalizes it projective plan who can be built starting from ... any corps . Whereas the theory of the projective plans has an aspect combinatoire , which ...
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Projective geometry   (translated from French)
Projective geometry projective geometry is the field of mathematics which ... figures by projection. Synopsis Historical considerations The projective geometry finds its origins in the work ... XIX E century, clarify the bond between projective geometry and Euclidean geometry. It today is ... by the display systems on computer ( OpenGL ). Projective space See detailed article: Projective space ...
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Modular representation theory
Modular representation theory In mathematics, modular representation theory is the branch of representation theory that studies linear representations of finite ... as an element of K. Such a representation is known as a modular representation. An example of modular representation theory ...
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Real projective plane
Real projective plane The fundamental polygon of the projective plane. In mathematics, the real projective plane is a non-orientable two-dimensional ... it obeys the axioms required of a projective plane: any pair of distinct great circles ... single great circle. This is the real projective plane. If we identify each point ...
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