@article{CTGDC_2001__42_1_2_0, author = {Akueson, P.}, title = {G\'eom\'etrie de l'espace tangent sur l'hyperbolo\"\i de quantique}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {42}, year = {2001}, pages = {2-50}, mrnumber = {1820764}, zbl = {1011.58003}, language = {fr}, url = {http://dml.mathdoc.fr/item/CTGDC_2001__42_1_2_0} }
Akueson, P. Géométrie de l'espace tangent sur l'hyperboloïde quantique. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 42 (2001) pp. 2-50. http://gdmltest.u-ga.fr/item/CTGDC_2001__42_1_2_0/
[A] Éléments de Géométrie tressée, Thèse de l'Université de Valenciennes (1998).
:[AG] Some aspects of braided geometry : differential calculus, tangent space, gauge theory, to appear in J.Phys. A., (1999). | MR 1696901 | Zbl 0945.58007
, :[BM] Line bundles on quantum sphere, q-alg/9807052.
, :[DGK] Double quantization of CPn type orbits by generalized Verma modules, JGP,28 (1998) pp.384-406. | MR 1658719 | Zbl 0945.17003
, , :[DGS] Invariant quantization in one and two parameters on semisimple coadjoint orbits of simple Lie groups, J. Pure and App. Algebra 100 (1995), pp.103-115. | MR 1344846
, , :[DGR] Quantum hyperboloid and braided modules, Algèbre Non Commutative, Groupes quantiques et invariants, Société Mathématique de France, Collection séminaires et congrès, No 2 (1997), pp.103-118. | MR 1601123 | Zbl 0973.17502
, , :[D] Double quantization on the coadjoint representation of sl(n), Czech J.of Physics, 47, (1997), pp. 1115-1122. | MR 1615893 | Zbl 0942.17006
:[FRT] Quantization of Lie groups and Lie algebras, Leningrad Math.J.1 (1990), pp.193-226. | MR 1015339 | Zbl 0715.17015
, , :[GRR] Noncommutative differential geometry and Yang-Baxter equation, Preprint. Publ. Math. IHES (1991).
, , :[GP] On Poisson pairs associated to modified R-matrices, Duke Math.J.73 (1994), no.1. | MR 1262206 | Zbl 0824.58022
, :[DG] Braiding of the Lie algebra sl(2), Amer.Math.Soc.Transl.(2) 167 (1995), pp.23-36. | MR 1343982 | Zbl 0853.17009
, :[GV] Noncommutative analogues of q-special polynomials and a q-integral on a sphere, J.Phys.A. Math.Gen. 31 (1998), pp.1771-1780. | MR 1624601 | Zbl 0904.33014
, :[G1] Algebraic aspects of the quantum Yang-Baxter equation, Leningrad. Math.J. 2 (1991), pp. 801-828. | MR 1080202 | Zbl 0728.17012
:[G2] Braided modules and reflection equations, Quantum groups and quantum spaces. Banach Center Publ, (40), Institut of Math, Polish Academy of Sciences, Warszawa 1997, pp.99-109. | MR 1481738 | Zbl 0936.17014
:[K] Quantum groups, Graduate texts in mathematics, 155, (1995). | MR 1321145 | Zbl 0808.17003
:[L] Lectures on rings and modules, Blaisddell publishing company (1966). | MR 419493 | Zbl 0143.26403
:[LS] Quantum Lie algebras of type An, q-alg /9510004.
, :[M] Foundations of quantum groups theory, Cambrige University Press, (1995). | MR 1381692 | Zbl 0857.17009
:[P] Quantum spheres, Lett.Math.Phys. 14 (1987), pp.193-202. | MR 919322 | Zbl 0634.46054
:[R] Differential forms for general commutative algebras, Trans.Amer.Math.Soc.108 (1963), pp.195-222. | MR 154906 | Zbl 0113.26204
:[S1] Modules projectifs et espaces fibrés a fibre vectorielle, exp. 23, Séminaire Dubreil-Pisot, Algèbre et théorie des nombres, Secrétariat mathématique, Paris, 1958. | Numdam | MR 177011 | Zbl 0132.41202
:[S2] SUq(n) gauge theory, Phys.Letters B 375 (1996), pp. 75-80. | MR 1396485 | Zbl 0997.81531
: