×

zbMATH — the first resource for mathematics

Unitary representations of some infinite dimensional groups. (English) Zbl 0495.22017

MSC:
22E70 Applications of Lie groups to the sciences; explicit representations
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Frenkel, I. B., Ka?, V. G.: Basic representations of affine Lie algebras and dual resonance models. Inventiones math.62, 23-66 (1980) · Zbl 0493.17010
[2] Gel’fand, I. M., Vilenkin, N. Ya.: Generalized Functions, Vol. 4. New York: Academic Press 1964
[3] Gel’fand, I. M., Fuks, D. B.: Funkt. Anal. Jego Prilozh.2, 92-93 (1968)
[4] Goddard, P., Horsley, R.: Nucl. Phys.B111, 272-296 (1976)
[5] Goddard, P., Thorn, C. B.: Phys. Lett.40B, 235-238 (1972)
[6] Jacob, M. (ed.): Dual theory. Amsterdam: North-Holland 1974 · Zbl 0315.93013
[7] Ka?, V. G.: Adv. Math.30, 85-136 (1978) · Zbl 0391.17010
[8] Ka?, V. G.: Contravariant form for infinite- dimensional Lie algebras and superalgebras. (to apper)
[9] Ka?, V. G.: Adv. Math.35, 264-273 (1980) · Zbl 0431.17009
[10] Kirillov, A. A.: Unitary representations of the group of diffeomorphisms of a manifold. (to appear) · Zbl 0515.58009
[11] Lazutkin, V. F., Pankratova, T. F.: Funkt. Anal. Jego Prilozh.9, 41-48 (1975) (Russian) · Zbl 0316.30019
[12] Shale, D.: Trans. Am. Math. Soc.103 149-167 (1962)
[13] Shale, D.: Stinespring, W. F.: J. Math. Mech.14, 315-322 (1965)
[14] Vergne, M.: Seconde quantification et groupe symplectique. C. R. Acad. Sci. (Paris),285, A 191-194 (1977) · Zbl 0386.22014
[15] Vershik, A. M., Gel’fand, I. M., Graev, M. I.: Usp. Mat. Nauk30, 1-50 (1975)
[16] Vershik, A. M., Gel’fand, I. M., Graev, M. I. Dokl. Akad. Nauk. SSSR232, 745-748 (1977)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.