The laplacian and the Dirac operator in infinitely many variables

R. J. Plymen

Compositio Mathematica (1980)

  • Volume: 41, Issue: 1, page 137-152
  • ISSN: 0010-437X

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Plymen, R. J.. "The laplacian and the Dirac operator in infinitely many variables." Compositio Mathematica 41.1 (1980): 137-152. <http://eudml.org/doc/89449>.

@article{Plymen1980,
author = {Plymen, R. J.},
journal = {Compositio Mathematica},
keywords = {spinor representations; spinor Laplacian; Dirac operator; Banach-Lie group; spin representation; projective tensor product of Hilbert spaces; nuclear spinor fields},
language = {eng},
number = {1},
pages = {137-152},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The laplacian and the Dirac operator in infinitely many variables},
url = {http://eudml.org/doc/89449},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Plymen, R. J.
TI - The laplacian and the Dirac operator in infinitely many variables
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 1
SP - 137
EP - 152
LA - eng
KW - spinor representations; spinor Laplacian; Dirac operator; Banach-Lie group; spin representation; projective tensor product of Hilbert spaces; nuclear spinor fields
UR - http://eudml.org/doc/89449
ER -

References

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  3. [3] H. Cartan: "Differential calculus". Hermann, Paris, 1971. MR344032
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  12. [12] J. Manuceau and A. Verbeure: The theorem on unitary equivalence of Fock representations, Ann. Inst. Henri Poincaré, 16 No 12 (1971) 87-91. Zbl0241.47018MR300573
  13. [13] J. Milnor: Spin structures on manifolds, Enseignement math. (2) 9 (1963) 198-203. Zbl0116.40403MR157388
  14. [14] R.J. Plymen: Spinors in Hilbert space, Math. Proc. Camb. Phil. Soc.80 (1976) 337-347. Zbl0332.22019MR419689
  15. [15] R.J. Plymen: Some recent results on infinite-dimensional spin groups. In: Studies in algebra and number theory, edited by G-C. Rota, Academic press, New York (1979) 159-171. Zbl0463.22016MR535765
  16. [16] R. Schatten: "A theory of cross-spaces". Princeton University Press, Princeton, New Jersey, 1950. Zbl0041.43502MR36935
  17. [17] E. Stormer: The even CAR algebra, Commun. Math. Phys.16 (1970) 136-137. Zbl0187.38503MR269232
  18. [18] D. Shale and W.F. Stinespring: Spinor representations of infinite orthogonal groups, J. Math. Mech.14 (1965) 315-322. Zbl0132.36003MR173163
  19. [19] Y. Umemura: On the infinite dimensional Laplace operator, J. Math. Kyoto Univ.4 (1965) 477. Zbl0188.20703

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