Scalars, Linearity and their consequences

This portion of my web-space is in a state of flux (since 1997/Spring) while I dismantle a huge page, add in some related fragments from other pages and set the pieces together in such good order as I can manage, while at the same time adjusting to many notational choices I've made since I wrote on this topic before.

Thus far, I here describe:

addition's

place in the sun

tensors

positivity

the consequences of not having an additive identity,

tensors, transposition and trace

three fundamental operations in linear algebra,

hermitian

conjugation combined with transposition, consequent symmetries

unitary

transformations associated with hermitian forms; the example of SU(2)

projection

the properties of self-square linear maps - ie, linear (V|f:V) for which f&on;f=f,

projectors

which are projections whose composite with some metric-tensor is symmetric,

and an old page on linearity,

which I'm shredding along with one on scalars.