| Nom | Équipe | Statut | Bureau | Téléphone | Courriel | |||
| Gilles HALBOUT | GTA | PR | 413 | 04 67 14 35 19 | DEM | I3M |
PR 25 Groupes quantiques, quantification par déformation
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Revues MathSciNet
MR2407849 (2009b:17050)
Enriquez, Benjamin; Halbout, Gilles Quantization of $\Gamma$-Lie bialgebras.
J. Algebra 319 (2008), no. 9, 3752--3769. (Reviewer: E. A. Karolinskiĭ) 17B62 (17B37)
MR2364075 (2008j:53153)
Calaque, Damien; Dolgushev, Vasiliy; Halbout, Gilles Formality theorems for Hochschild chains in the Lie algebroid
setting.
J. Reine Angew. Math. 612 (2007), 81--127. (Reviewer: Benoˆıt Fresse) 53D55 (16E40 16E45 17B56)
MR2276506 (2007m:17028)
Enriquez, Benjamin; Halbout, Gilles Coboundary Lie bialgebras and commutative subalgebras of universal
enveloping algebras.
Pacific J. Math. 229 (2007), no. 1, 161--184. (Reviewer: Fabio Gavarini) 17B62 (17B35 81R12)
MR2275450 (2008b:53120)
Halbout, Gilles Formality theorems: from associators to a global formulation.
Ann. Math. Blaise Pascal 13 (2006), no. 2, 313--348. (Reviewer: Dominique Manchon) 53D55 (18D50)
MR2271019 (2008b:17036)
Halbout, Gilles Formality theorem for Lie bialgebras and quantization of twists and
coboundary $r$-matrices.
Adv. Math. 207 (2006), no. 2, 617--633. (Reviewer: Dominique Manchon) 17B62
MR2180877 (2006g:16023)
Ginot, Grégory; Halbout, Gilles Lifts of $C_\infty$- and $L_\infty$-morphisms to $G_\infty$-morphisms.
Proc. Amer. Math. Soc. 134 (2006), no. 3, 621--630 (electronic). (Reviewer: Benoˆıt Fresse) 16E40 (16S80 18D50 53D55)
MR2175449 (2006h:53102)
Gammella, Angela; Halbout, Gilles $G_\infty$-formality theorem in terms of graphs and associated
Chevalley-Eilenberg-Harrison cohomology.
Comm. Algebra 33 (2005), no. 10, 3515--3528. (Reviewer: Benoˆıt Fresse) 53D55 (16E40 18D50)
MR2136736 (2006h:53103)
Halbout, Gilles Globalization of Tamarkin's formality theorem.
Lett. Math. Phys. 71 (2005), no. 1, 39--48. (Reviewer: Dominique Manchon) 53D55 (16E40)
MR2073911 (2005c:17029)
Enriquez, Benjamin; Halbout, Gilles Poisson algebras associated to quasi-Hopf algebras.
Adv. Math. 186 (2004), no. 2, 363--395. (Reviewer: Aleksandr Panov) 17B63 (16W30)
MR2064591 (2005d:53145)
Ginot, Gregory; Halbout, Gilles A formality theorem for Poisson manifolds.
Lett. Math. Phys. 66 (2003), no. 1-2, 37--64. (Reviewer: Bogdan Ion) 53D55 (16E40 18D50)
MR2003601 (2004m:17045)
Enriquez, Benjamin; Gavarini, Fabio; Halbout, Gilles Uniqueness of braidings of quasitriangular Lie bialgebras and lifts of
classical $r$-matrices.
Int. Math. Res. Not. 2003, no. 46, 2461--2486. (Reviewer: Zhangju Liu) 17B80
MR1976952 (2004b:17030)
Gavarini, Fabio; Halbout, Gilles Braiding structures on formal Poisson groups and classical solutions of
the QYBE.
J. Geom. Phys. 46 (2003), no. 3-4, 255--282. (Reviewer: E. A. Karolinskiĭ) 17B37 (17B62 53D17 81R50)
MR1966637 (2004a:17015)
Enriquez, Benjamin; Halbout, Gilles An $\hslash$-adic valuation property of universal $R$-matrices.
J. Algebra 261 (2003), no. 2, 434--447. (Reviewer: Walter R. Ferrer Santos) 17B37
MR1914779 (2003d:53165)
Halbout, Gilles Deformation quantization, methods and applications.
Deformation quantization (Strasbourg, 2001),
1--8, IRMA Lect. Math. Theor. Phys., 1, de Gruyter, Berlin, 2002. (Reviewer: Stefan Waldmann) 53D55 (17B37 17B62)
MR1914778 (2003a:00023)
Deformation quantization.
Proceedings of the 68th Meeting of Theoretical Physicists and
Mathematicians held in Strasbourg, May 31--June 2, 2001.
Edited by Gilles Halbout.
IRMA Lectures in Mathematics and Theoretical Physics, 1. Walter de Gruyter & Co., Berlin, 2002. viii+236 pp. ISBN: 3-11-017247-X 00B25 (53-06 53D55)
MR1854131 (2002i:53123)
Halbout, Gilles Formality conjectures and deformation.
EuroConférence Moshé Flato 2000, Part II (Dijon).
Lett. Math. Phys. 56 (2001), no. 2, 127--140. (Reviewer: Olga Kravchenko) 53D55 (17B66 19D55)
MR1836962 (2002e:17019)
Gavarini, Fabio; Halbout, Gilles Tressages des groupes de Poisson formels à dual
quasitriangulaire.
(French) [Braidings of formal Poisson groups with quasitriangular dual] J. Pure Appl. Algebra 161 (2001), no. 3, 295--307. (Reviewer: Walter R. Ferrer Santos) 17B37 (16W30)
MR1827641 (2002d:16010)
Halbout, Gilles Formule d'homotopie entre les complexes de Hochschild et de de
Rham.
(French) [Homotopy formulas between the Hochschild and de Rham complexes] Compositio Math. 126 (2001), no. 2, 123--145. (Reviewer: Cristodor Ionescu) 16E40 (53D55)
MR1728168 (2000i:17039)
Halbout, Gilles Construction par dualité des algèbres de Kac-Moody
symétrisables.
(French) [Duality construction of symmetrizable Kac-Moody algebras] J. Algebra 222 (1999), no. 1, 65--81. (Reviewer: Dmitrii A. Timashëv) 17B67 (17B01 17B62)
MR1724535 (2000i:19010)
Halbout, Gilles Homotopie explicite en (co)homologie de Hochschild.
(French) [Explicit homotopy formula for Hochschild (co)homology] C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 9, 757--762. 19D55
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