Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting Clifford algebras and spinors II: Weyl spinors in Cl(3,0) and
  Cl(0,3) and the Dirac equation   This paper is the second one of a series of three and it is the continuation
of math-ph/0412074. We review some properties of the algebraic spinors in
Cl(3,0) and Cl(0,3) and how Weyl, Pauli and Dirac spinors are constructed in
Cl(3,0) (and Cl(0,3) in the case of Weyl spinors. A plane wave solution for the
Dirac equation is obtained, and the Dirac equation is written in terms of Weyl
spinors, and alternatively, in terms of Pauli spinors. Finally the covariant
and contravariant undotted spinors in Cl(0,3), isomorphic to two copies of the
quaternion algebra (H), are constructed. We prove that there exists an
application that maps the even subalgebra Cl+(0,3) of Cl(0,3), viewed as a
right H-module, onto Cl+(0,3), but now viewed as a left H-module.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys