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
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
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.
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
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics