@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},
year = {1992},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {120},
number = {3},
doi = {10.24033/bsmf.2188},
mrnumber = {93k:17023},
zbl = {0763.17008},
language = {en},
url = {https://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 - https://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 https://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
[A] . - Some forms of Kac Moody algebras, J. Algebra, (to appear). | Zbl
[AE] and . - Examples of Compact Matrix Pseudogroups arising from the twisting operation, Preprint.
[APW] , and . - Representations of quantum algebras, Invent. Math., t. 104, 1991, p. 1-60. | Zbl | MR
[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. | Zbl | MR
[D2] . - Quantum groups, Proc. of the ICM, Berkeley, 1986, pp. 798-820. | Zbl | MR
[FRT] , and . - 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. | Zbl | MR
[J] . - A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys., t. 10, 1985, p. 63-69. | Zbl | MR
[L1] . - Quantum deformations of certain simple modules over enveloping algebras, Adv. in Math., t. 70, 1988, p. 237-249. | Zbl | MR
[L2] . - Modular representations and quantum groups, Contemp. Math., t. 82, 1989, p. 59-77. | Zbl | MR
[L3] . - Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. of Amer. Math. Soc., t. 3 (1), p. 257-296. | Zbl | MR
[L4] . - Quantum groups at roots of 1, Geom. Dedicata, 1990. | Zbl
[K] . - Infinite dimensional Lie algebras, Prog. in Math., vol. 44, Birkhauser, Boston, 1983. | Zbl | MR
[Ko] . - Groups over Z, Proc. Symp. Pur Math., Amer. Math. Soc., t. 6, 1966, p. 90-98. | Zbl | MR
[KR] and . - The quantum linear problem for the sine Gordon equation and higher representations, J. Soviet Math., t. 23 (4), 1983, p. 2435-2440.
[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. | Zbl | MR
[R2] . - Algèbres envelopantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif, Duke Math. J, t. 61, 1990, p. 11-39. | Zbl | MR
[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. | Zbl | MR
[T] . - Quantum Orthogonal and Symmetric Groups and their Embedding into Quantum GLn, Proc. Japan Acad. Ser. A, t. 65, 2, 1989, p. 55-58. | Zbl | MR
[VS] and . - Algebra of functions on the quantum group SU(2), Funct. An. Appl., t. 22, 1988, p. 170-181. | Zbl | MR
[W1] . - Twisted SU(2) Group. An example of Non-Commutative Differential Calculus, Publ. RIMS, Kyoto Univ., t. 23, 1987, p. 117-181. | Zbl | MR
[W2] . - Compact matrix pseudogroups, Comm. in Math. Phys., t. 111, 1987, p. 613-665. | Zbl | MR
[W3] . - Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU (N) groups, Invent. Math., t. 93, 1988, p. 35-76. | Zbl | MR
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