@ACuriousMind notes are fine too, but I've pretty much used up all of my textbook budget for this semester, and I'm just not liking how my current textbook is presenting the theory
@Slereah I doubt that, because a "rigged Hilbert space" is actually a triple of spaces. You likely mean that he calls one of the three spaces involved the degeneracy space :P
"The irreducible representations of $\bar{\mathfrak P}$ of class $(m_+, s)$ yield the quantum theory of a single particle with rest mass $m$ and spin $s$ alone in the world"
"The belief that the actual world is the best of all possible worlds, or that God gave laws of nature opticmally designed to achieve an end, has provided through centuries an inspiration to fundamental physics."
It's actually the Lagrangefunktion in German, but it's been so long I've spoken in German about physics that I tend to use 'Lagrangian' and 'Hamiltonian' even when speaking to Germans.
"The requirement $a(p)\Psi_0 = 0$ has to be added to the algebraic relations because the latter allows many inequivalent irreducible Hilbert space representations"
Is that to avoid the $\Psi = | 1,1,1,...\rangle$ drama