- P(V)
formed by the
lines contained in S and is
called the
projectivization of S.
Projectivization is a
special case of the
factorization by a
group action:...
- map
embeds G r ( k , V ) {\displaystyle \mathbf {Gr} (k,V)} into the
projectivization P ( ⋀ k V ) {\displaystyle \mathbf {P} ({\textstyle \bigwedge }^{k}V)}...
-
number λ {\displaystyle \lambda } . This is the
usual construction of
projectivization,
applied to a
complex Hilbert space. In
quantum mechanics, the equivalence...
- over k
defined by Proj(k[V]) is
called projectivization of V. The
projective n-space on k is the
projectivization of the
vector space A k n + 1 {\displaystyle...
- some of
dimension 2n − 1, some of
dimension 2n + 1.
Projectivization Let M be the
projectivization of the
cotangent bundle of N: thus M is
fiber bundle...
- {m}}=(x,y)} is the
maximal ideal of the origin. Algebraically, the
projectivization of this
vector space is Proj of its
symmetric algebra, that is, X =...
- For a
projective space defined in
terms of
linear algebra (as the
projectivization of a
vector space), a
collineation is a map
between the projective...
- Gr****mannian G r ( k , V ) {\displaystyle \mathbf {Gr} (k,V)} into the
projectivization of the k {\displaystyle k} th
Exterior power Λ k V {\displaystyle \Lambda...
-
actions coincide, so the
closure can be
understood in
either sense. The
projectivization of c v ¯ n {\displaystyle {\overline {cv}}_{n}} with
respect to multiplication...
-
exception of the non-Desarguesian planes, all
projective spaces are the
projectivization of a
linear space over a
division ring though, as
noted above, there...
