## 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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Chicago

ICMJE

MLA

NLM

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-XReed, 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.

## 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