- the
property N(pq)=N(p)N(q).{\displaystyle N(p\,q)=N(p)\,N(q)\,.} The
complexified vector space VC has more
structure than an
ordinary complex vector space...
- ,\quad [u_{3},u_{1}]=2u_{2}~.} It is then
convenient to p**** to the
complexified Lie
algebra su(2)+isu(2)=sl(2;C) .{\displaystyle \mathrm {su} (2)+i\...
- _{A'}}. The
geometric relation between projective twistor space and
complexified compactified Minkowski space is the same as the
relation between lines...
-
structure on M
allows a
decomposition of the
complexified tangent bundle TMC (which is the
vector bundle of
complexified tangent spaces at each point) into TM+...
- "Fundamental
representations and
algebraic properties of
biquaternions or
complexified quaternions",
Advances in
Applied Clifford Algebras, 21 (3): 1–30, arXiv:1001...
-
Lorentzian manifold need not be flat, i.e. it
allows for curvature.
Complexified Minkowski space is
defined as Mc = M ⊕ iM. Its real part is the Minkowski...
- the
restriction of the
complexified tangent bundle to U{\displaystyle U}. As such,
these vector fields also
split the
complexified tangent bundle into two...
-
government services. The
secrecy surrounding their financial details complexifies the
process of
evaluating whether PPPs have been successful. PPP advocates...
- {SU(3)_{c}\times U(1)_{em}} } can be
represented using the
algebra of the
complexified sedenions C⊗S{\displaystyle \mathbb {C\otimes S} }.
Their reasoning follows...
-
diverges for |x| > 1, i.e., the
radius of
convergence is 1
because the
complexified function has a pole at
distance 1 from the
evaluation point 0 and no...
