Twistor quantization of loop spaces of compact Lie groups
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 450-467 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the problem of twistor quantization for the loop space $\Omega_TG$ of a compact Lie group $G$. We show that this problem is solvable in the critical dimension.
Keywords: twistor quantization, loop space, Fock bundle, Goodman–Wallach action.
Mots-clés : affine algebra
@article{TMF_2008_157_3_a10,
     author = {A. G. Sergeev},
     title = {Twistor quantization of loop spaces of compact {Lie} groups},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {450--467},
     year = {2008},
     volume = {157},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a10/}
}
TY  - JOUR
AU  - A. G. Sergeev
TI  - Twistor quantization of loop spaces of compact Lie groups
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 450
EP  - 467
VL  - 157
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a10/
LA  - ru
ID  - TMF_2008_157_3_a10
ER  - 
%0 Journal Article
%A A. G. Sergeev
%T Twistor quantization of loop spaces of compact Lie groups
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 450-467
%V 157
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a10/
%G ru
%F TMF_2008_157_3_a10
A. G. Sergeev. Twistor quantization of loop spaces of compact Lie groups. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 450-467. http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a10/

[1] R. Goodman, N. R. Wallach, J. Reine Angew. Math., 347 (1984), 69–133 | MR | Zbl

[2] E. Pressli, G. Sigal, Gruppy petel, Mir, M., 1990 | MR | MR | Zbl

[3] A. A. Kirillov, Elementy teorii predstavlenii, Nauka, M., 1978 | MR | MR | Zbl

[4] A. G. Sergeev, Kelerova geometriya prostranstva petel, MNTsMO, M., 2001

[5] J. Mickelsson, Comm. Math. Phys., 112:4 (1987), 653–661 | DOI | MR | Zbl

[6] J. Mickelsson, Current Algebras and Groups, Plenum Monogr. Nonlinear Phys., Plenum Press, New York, 1989 | MR | Zbl

[7] A. L. Onischik, E. B. Vinberg, Seminar po gruppam Li i algebraicheskim gruppam, Nauka, M., 1988 | MR | MR | Zbl

[8] Sh. Kobayasi, K. Nomidzu, Osnovy differentsialnoi geometrii, T. 1, 2, Nauka, M., 1981 | MR | MR | Zbl | Zbl

[9] G. Segal, Comm. Math. Phys., 80:3 (1981), 301–342 | DOI | MR | Zbl

[10] M. J. Bowick, A. Lahiri, J. Math. Phys., 29:9 (1988), 1979–1981 | DOI | MR | Zbl