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Torus invariance for the clifford algebra i

Publication ,  Journal Article
Reed, MC
Published in: Transactions of the American Mathematical Society
January 1, 1971

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.

Duke Scholars

Published In

Transactions of the American Mathematical Society

DOI

ISSN

0002-9947

Publication Date

January 1, 1971

Volume

154

Start / End Page

177 / 183

Related Subject Headings

  • General Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Reed, M. C. (1971). Torus invariance for the clifford algebra i. Transactions of the American Mathematical Society, 154, 177–183. https://doi.org/10.1090/S0002-9947-1971-0273424-X
Reed, M. C. “Torus invariance for the clifford algebra i.” Transactions of the American Mathematical Society 154 (January 1, 1971): 177–83. https://doi.org/10.1090/S0002-9947-1971-0273424-X.
Reed MC. Torus invariance for the clifford algebra i. Transactions of the American Mathematical Society. 1971 Jan 1;154:177–83.
Reed, M. C. “Torus invariance for the clifford algebra i.” Transactions of the American Mathematical Society, vol. 154, Jan. 1971, pp. 177–83. Scopus, doi:10.1090/S0002-9947-1971-0273424-X.
Reed MC. Torus invariance for the clifford algebra i. Transactions of the American Mathematical Society. 1971 Jan 1;154:177–183.
Journal cover image

Published In

Transactions of the American Mathematical Society

DOI

ISSN

0002-9947

Publication Date

January 1, 1971

Volume

154

Start / End Page

177 / 183

Related Subject Headings

  • General Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics