@article{CM_1987__64_1_3_0, author = {Wallach, Nolan R.}, title = {On the irreducibility and inequivalence of unitary representations of gauge groups}, journal = {Compositio Mathematica}, pages = {3--29}, publisher = {Martinus Nijhoff Publishers}, volume = {64}, number = {1}, year = {1987}, mrnumber = {911356}, zbl = {0632.22014}, language = {en}, url = {http://www.numdam.org/item/CM_1987__64_1_3_0/} }
TY - JOUR AU - Wallach, Nolan R. TI - On the irreducibility and inequivalence of unitary representations of gauge groups JO - Compositio Mathematica PY - 1987 SP - 3 EP - 29 VL - 64 IS - 1 PB - Martinus Nijhoff Publishers UR - http://www.numdam.org/item/CM_1987__64_1_3_0/ LA - en ID - CM_1987__64_1_3_0 ER -
Wallach, Nolan R. On the irreducibility and inequivalence of unitary representations of gauge groups. Compositio Mathematica, Tome 64 (1987) no. 1, pp. 3-29. http://www.numdam.org/item/CM_1987__64_1_3_0/
[AKT] 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. | MR | Zbl
, and :[deR] Variétés différentiables, Publications de l'Institute de Mathématique de l'Université de Nancago, III, Actualités scientifiques et industrielles, 1222. Hermann, Paris (1960). | Zbl
:[D] Les algèbres d'opérateurs dans l'espace hilbertien. Gauthier-Villars, Paris (1969). | MR | Zbl
:[GGV, I] Representations of the group of smooth mappings of a manifold X into compact Lie group. Compositio Math. 35 (1977) 299-334. | Numdam | MR | Zbl
and :[GGV, II] Representations of the group of functions taking values in a compact Lie group. Compositio Math. 42 (1982) 217-243. | Numdam | MR | Zbl
, and :[Gu] Symmetric Hilbert spaces and related topics. Lecture Notes in Mathematics, Volum 261. Springer-Verlag, Berlin (1972). | MR | Zbl
:[GV] Generalized functions, Vol. 4 (Translated by A. Feinstein). Academic Press, New York (1964). | MR
and :[H] Differential geometry, Lie groups, and symmetric spaces. Academic Press, New York (1978). | MR | Zbl
:[I] 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. | MR | Zbl
:[W] Geometric integration theory. Princeton University Press, Princeton (1957). | MR | Zbl
: