21. For example, local gauge transformations apply to both a vector and spinor field: 22. For a Majorana spinor , the Majorana equation is equivalent to the Dirac equation. 23. A particle that transforms as a single Weyl spinor is said to be chiral. 24. In 1975 he laid the foundations for symplectic Clifford algebra and the symplectic spinor . 25. This means that the partial derivative of a spinor is no longer a genuine tensor. 26. It is described by a complex-valued vector with two components called a spinor . 27. The above pure spinor is globally defined, and so the canonical bundle is trivial. 28. As a consequence, the spinor Hermitian product 29. Crumeyrolle is known for his major contributions to theories of Clifford algebras and spinor structures. 30. A " spinor genus " is an equivalence class for this equivalence relation.
