@article{BSMF_1992__120_3_297_0, author = {Andruskiewitsch, Nicol\'as}, title = {Some exceptional compact matrix pseudogroups}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {297--325}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {120}, number = {3}, year = {1992}, doi = {10.24033/bsmf.2188}, mrnumber = {93k:17023}, zbl = {0763.17008}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2188/} }
TY - JOUR AU - Andruskiewitsch, Nicolás TI - Some exceptional compact matrix pseudogroups JO - Bulletin de la Société Mathématique de France PY - 1992 SP - 297 EP - 325 VL - 120 IS - 3 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2188/ DO - 10.24033/bsmf.2188 LA - en ID - BSMF_1992__120_3_297_0 ER -
%0 Journal Article %A Andruskiewitsch, Nicolás %T Some exceptional compact matrix pseudogroups %J Bulletin de la Société Mathématique de France %D 1992 %P 297-325 %V 120 %N 3 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2188/ %R 10.24033/bsmf.2188 %G en %F BSMF_1992__120_3_297_0
Andruskiewitsch, Nicolás. Some exceptional compact matrix pseudogroups. Bulletin de la Société Mathématique de France, Tome 120 (1992) no. 3, pp. 297-325. doi : 10.24033/bsmf.2188. http://www.numdam.org/articles/10.24033/bsmf.2188/
[A] Some forms of Kac Moody algebras, J. Algebra, (to appear). | Zbl
. -[AE] Examples of Compact Matrix Pseudogroups arising from the twisting operation, Preprint.
and . -[APW] Representations of quantum algebras, Invent. Math., t. 104, 1991, p. 1-60. | MR | Zbl
, and . -[B] Groupes et algèbres de Lie, Chap. 4, 5 et 6. - Hermann, Paris, 1968.
. -[D1] Hopf algebras and the Yang-Baxter equation, Soviet Math. Dokl., t. 32, 1985, p. 254-258. | MR | Zbl
. -[D2] Quantum groups, Proc. of the ICM, Berkeley, 1986, pp. 798-820. | MR | Zbl
. -[FRT] Quantization of Lie Groups and Lie algebras, in Algebraic Analysis, Papers dedicated to Professor Mikio Saito on the Occasion of His Sixtieth Birthday, Academic Press, 1988, pp. 129-139. | MR | Zbl
, and . -[J] A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys., t. 10, 1985, p. 63-69. | MR | Zbl
. -[L1] Quantum deformations of certain simple modules over enveloping algebras, Adv. in Math., t. 70, 1988, p. 237-249. | MR | Zbl
. -[L2] Modular representations and quantum groups, Contemp. Math., t. 82, 1989, p. 59-77. | MR | Zbl
. -[L3] Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. of Amer. Math. Soc., t. 3 (1), p. 257-296. | MR | Zbl
. -[L4] Quantum groups at roots of 1, Geom. Dedicata, 1990. | Zbl
. -[K] Infinite dimensional Lie algebras, Prog. in Math., vol. 44, Birkhauser, Boston, 1983. | MR | Zbl
. -[Ko] Groups over Z, Proc. Symp. Pur Math., Amer. Math. Soc., t. 6, 1966, p. 90-98. | MR | Zbl
. -[KR] The quantum linear problem for the sine Gordon equation and higher representations, J. Soviet Math., t. 23 (4), 1983, p. 2435-2440.
and . -[Ma] Quantum Groups. - Montreal Lectures, 1988.
. -[Re] Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I-II, Preprint, L.O.M.I.
. -[R1] Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra, Commun. Math. Phys., t. 117, 1988, p. 581-593. | MR | Zbl
. -[R2] Algèbres envelopantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif, Duke Math. J, t. 61, 1990, p. 11-39. | MR | Zbl
. -[Sk] On an algebra generated by quadratic relations, Uspekhi Mat. Nauk, t. 40, 2, 1985, p. 214. | MR
. -[Sk2] Some algebraic structures connected with the Yang-Baxter equation. Representations of the quantum algebra, Funct. An. Appl., t. 17, 1983, p. 34-48. | MR | Zbl
. -[T] Quantum Orthogonal and Symmetric Groups and their Embedding into Quantum GLn, Proc. Japan Acad. Ser. A, t. 65, 2, 1989, p. 55-58. | MR | Zbl
. -[VS] Algebra of functions on the quantum group SU(2), Funct. An. Appl., t. 22, 1988, p. 170-181. | MR | Zbl
and . -[W1] Twisted SU(2) Group. An example of Non-Commutative Differential Calculus, Publ. RIMS, Kyoto Univ., t. 23, 1987, p. 117-181. | MR | Zbl
. -[W2] Compact matrix pseudogroups, Comm. in Math. Phys., t. 111, 1987, p. 613-665. | MR | Zbl
. -[W3] Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU (N) groups, Invent. Math., t. 93, 1988, p. 35-76. | MR | Zbl
. -Cité par Sources :