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S. ALBEVERIO, R., HØEGH-KROHN: The energy representation of Sobolev-Lie groups, Comp. Math., vol, 36 (1978), p, 37–52
S. ALBEVERIO, R. HØEGH-KROHN, D, TESTARD: Irreducibility and reducibility of the energy representations of the group of mappings of a Riemannian manifold into a compact semisimple Lie group, J. Funct. Anal., vol, 41, n° 3, (1981), p. 378–396
X. FERNIQUE, J.P. CONZE, J. GANT: Ecole d'été de Probabilités de Saint-Flours n° IV, Lect, Notes in Math vol. 840, Springer-Verlag (1985)
M. FUKUSHIMA: Dirichlet forms and Markov processes, Amsterdam-Oxford-New-York, North Holland, (1980)
A. GUICHARDET: Symmetric Hilbert spaces and related topics, Lect. Notes in Math vol, 261, Springer-Verlag (1972)
W. KARWOWSKI, J. MARION: On the closability of some positive definite symmetric differential forms on C o∞ (ω), preprint 1984, to appear in J. Funct, Anal
R. ISMAGILOV: On unitary representations of the group C ∞0 (X, G), G = SU (2), Math, Sb. vol. 100 (2), (1976), p, 117–131 (in Russian)
J. MARION: G-distributions et G-intégrales multiplicatives sur une variété, Annal. Pol. Math., vol. 43 (1983), p. 79–92.
J. Marion: Generalized energy representations for current groups, J. Funct. Anal. vol. 54 (1), (1983), p. 1–17.
J. MARION, D. TESTARD: Energy representations of gauge groups associated with Riemannian flags, preprint (1985), to appear.
I. SEGAL: The Cauchy problem for the Yang-Mills equations, J. Funct. Anal. vol. 33 (2), (1979), p. 175–194.
A. M. VERSHIK, I. M. GELFAND, M.I., GRAEV: Representations of the group of functions taking values in a compact Lie group, Comp. Math. vol. 35 (1977), p. 299–336.
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© 1986 Springer-Verlag
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Marion, J. (1986). Dirichlet forms defined by Riemannian flags and applications. In: Albeverio, S., Casati, G., Merlini, D. (eds) Stochastic Processes in Classical and Quantum Systems. Lecture Notes in Physics, vol 262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171665_81
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DOI: https://doi.org/10.1007/3540171665_81
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