Quasi-bigèbres jacobiennes

Yvette Kosmann-Schwarzbach

Recherche Coopérative sur Programme n°25 (1992)

  • Volume: 43, page 103-106

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Kosmann-Schwarzbach, Yvette. "Quasi-bigèbres jacobiennes." Recherche Coopérative sur Programme n°25 43 (1992): 103-106. <http://eudml.org/doc/274955>.

@article{Kosmann1992,
author = {Kosmann-Schwarzbach, Yvette},
journal = {Recherche Coopérative sur Programme n°25},
keywords = {Lie bialgebras; Poisson Lie groups; quasi-Poisson Lie groups; quasi-quantum groups},
language = {fre},
pages = {103-106},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Quasi-bigèbres jacobiennes},
url = {http://eudml.org/doc/274955},
volume = {43},
year = {1992},
}

TY - JOUR
AU - Kosmann-Schwarzbach, Yvette
TI - Quasi-bigèbres jacobiennes
JO - Recherche Coopérative sur Programme n°25
PY - 1992
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 43
SP - 103
EP - 106
LA - fre
KW - Lie bialgebras; Poisson Lie groups; quasi-Poisson Lie groups; quasi-quantum groups
UR - http://eudml.org/doc/274955
ER -

References

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  1. [D] V. G. Drinfeld, Quasi-Hopf algebras, Algebra i Analiz1 (6) (1989) 114-148, résumé en anglais, Quasi-Hopf algebras and Knizhnik-Zamolodchikov equations, Acad. Sci. Ukr. preprint, ITP-89-43E (1989), trad, anglaise dans Leningrad Math. J.1 (6) (1990) 1419-1457. MR1047964
  2. [YKS1] Y. Kosmann-Schwarzbach, From "Quantum groups" to "quasi-quantum groups", Symmetries in Science V, Algebraic systems, their representations, realizations and physical applications (Schloss Hofen, Austria, August 1990) B. Gruber, L. C. Biedenharn and H. D. Doebner eds., Plenum Press, New York1991, 369-393. MR1143601
  3. [YKS2] Y. Kosmann-Schwarzbach, (a) Grand crochet, crochets de Schouten et cohomologies d'algèbres de Lie, Comptes rendus Acad Sci.Paris312, série 1 (1991) 123-126 Zbl0726.17029MR1086516
  4. Y. Kosmann-Schwarzbach (b) Champs affines de multivecteurs sur les groupes de Lie, ibid. 233-236 Zbl0726.17030MR1089704
  5. Y. Kosmann-Schwarzbach (c) Quasi-bigèbres de Lie et groupes de Lie quasi-Poisson, ibid. 391-394. Zbl0712.22012MR1096618
  6. [YKS3] Y. Kosmann-Schwarzbach, Jacobian quasi-bialgebras and quasi-Poisson Lie groups, Mathematical Aspects of classical field theory (Seattle, Washington, July 1991), M. J. Gotay, J. E. Marsden and V. E. Moncrief eds., Contemporary Mathematics, American Mathematical Society, à paraître. Zbl0847.17020MR1188453
  7. [C] P. Cartier, Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre, Séminaire Bourbaki, exposé n° 716, novembre 1979. Zbl0737.57001
  8. [S] J. D. Stasheff, Drinfeld's quasi-Hopf algebras and beyond, Proc. of the Conference on deformation theory with applications to physics (Amherst, MA, June 1990), M. Gerstenhaber and J. D. Stasheff eds., Contemporary Mathematics, American Mathematical Society, à paraître. Zbl0784.17027
  9. [DPR] R. Dijkgraaf, V. Pasquier and P. Roche, Quasi-Hopf algebras, group cohomology and orbifold models, Nucl. Phys. B (Proc. Suppl.)18B (1990) 60-72. Zbl0957.81670MR1128130
  10. [M] Sh. Majid, (a) Tannaka-Krein theorem for quasi Hopf algebras and other results. Proc. of the Conference on deformation theory with applications to physics (Amherst, MA, June 1990), M. Gerstenhaber and J. D. Stasheff eds., Contemporary Mathematics, American Mathematical Society, à paraître, Zbl0788.17012MR1187289
  11. Sh. Majid (b) Quasi-quantum groups as internal symmetries of topological quantum field theories, Lett. Math. Physics22 (2) (1991) 83-90. Zbl0746.17008MR1122044

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