Torus invariance for the clifford algebra i

Published

Journal Article

A problem in Quantum Field Theory leads to the study of a representation of the torus, T3, as automorphisms of the infinite dimensional Clifford algebra. It is shown that the irreducible product representations of the Clifford algebra fall into two categories: the discrete representations where the automorphisms are unitarily implementable, and all the others in which the automorphisms are not implementable and which cannot even appear as subrepresentations of larger representations in which the automorphisms are implementable. © 1971 American Mathematical Society.

Full Text

Duke Authors

Cited Authors

  • Reed, MC

Published Date

  • January 1, 1971

Published In

Volume / Issue

  • 154 /

Start / End Page

  • 177 - 183

International Standard Serial Number (ISSN)

  • 0002-9947

Digital Object Identifier (DOI)

  • 10.1090/S0002-9947-1971-0273424-X

Citation Source

  • Scopus