- 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 ( Λ k V ) {\displaystyle \mathbf {P} (\Lambda ^{k}V)} of the k {\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...
-
number λ{\displaystyle \lambda }. This is the
usual construction of
projectivization,
applied to a
complex Hilbert space. In
quantum mechanics, the equivalence...
- 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...
-
geometry is the
tautological line
bundle on
projective space. The
projectivization P(V) of a
vector space V over a
field k is
defined to be the quotient...
- 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 =...
- 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...
-
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...
-
phase factor). In
other words, the
possible states are
points in the
projectivization of a
Hilbert space,
usually called the
complex projective space. The...
