On the irreducibility and inequivalence of unitary representations of gauge groups

Nolan R. Wallach

Compositio Mathematica (1987)

  • Volume: 64, Issue: 1, page 3-29
  • ISSN: 0010-437X

How to cite

top

Wallach, Nolan R.. "On the irreducibility and inequivalence of unitary representations of gauge groups." Compositio Mathematica 64.1 (1987): 3-29. <http://eudml.org/doc/89871>.

@article{Wallach1987,
author = {Wallach, Nolan R.},
journal = {Compositio Mathematica},
keywords = {gauge groups; Riemannian manifold; representations of infinite- dimensional groups; Gaussian measures},
language = {eng},
number = {1},
pages = {3-29},
publisher = {Martinus Nijhoff Publishers},
title = {On the irreducibility and inequivalence of unitary representations of gauge groups},
url = {http://eudml.org/doc/89871},
volume = {64},
year = {1987},
}

TY - JOUR
AU - Wallach, Nolan R.
TI - On the irreducibility and inequivalence of unitary representations of gauge groups
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 64
IS - 1
SP - 3
EP - 29
LA - eng
KW - gauge groups; Riemannian manifold; representations of infinite- dimensional groups; Gaussian measures
UR - http://eudml.org/doc/89871
ER -

References

top
  1. [AKT] S. Albeverio, R. Hoegh-Krohn and D. Testard: Irreducibility and reducibility for the energy representation of the group of mappings of a Riemmanian manifold into a compact semisimple Lie group. J. Func. Anal.41 (1981) 378-396. Zbl0488.22038MR619959
  2. [deR] G. de Rham: Variétés différentiables, Publications de l'Institute de Mathématique de l'Université de Nancago, III, Actualités scientifiques et industrielles, 1222. Hermann, Paris (1960). Zbl0089.08105
  3. [D] J. Dixmier: Les algèbres d'opérateurs dans l'espace hilbertien. Gauthier-Villars, Paris (1969). Zbl0175.43801MR352996
  4. [GGV, I] I M. Gelfand, M. I. Graev and A. Vershik: Representations of the group of smooth mappings of a manifold X into compact Lie group. Compositio Math.35 (1977) 299-334. Zbl0368.53034MR578652
  5. [GGV, II] I.M. Gelfand, M.I. Graev and A. Vershik: Representations of the group of functions taking values in a compact Lie group. Compositio Math.42 (1982) 217-243. Zbl0449.22019MR596877
  6. [Gu] A. Guichardet: Symmetric Hilbert spaces and related topics. Lecture Notes in Mathematics, Volum 261. Springer-Verlag, Berlin (1972). Zbl0265.43008MR493402
  7. [GV] I.M. Gelfand and N.Ya. Vilenkin: Generalized functions, Vol. 4 (Translated by A. Feinstein). Academic Press, New York (1964). MR173945
  8. [H] S. Helagson: Differential geometry, Lie groups, and symmetric spaces. Academic Press, New York (1978). Zbl0451.53038MR514561
  9. [I] R. Ismagilov: On unitary representations of the group C0(X, G), G = SU(2), Mat. Sb., 100 (1976), 117-131.Math. U.S.S.R. Sb. 29 (1976) 105-117. Zbl0383.22002MR412349
  10. [W] H. Whitney: Geometric integration theory. Princeton University Press, Princeton (1957). Zbl0083.28204MR87148

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.