Some exceptional compact matrix pseudogroups
Bulletin de la Société Mathématique de France (1992)
- Volume: 120, Issue: 3, page 297-325
- ISSN: 0037-9484
Access Full Article
topHow to cite
topAndruskiewitsch, Nicolás. "Some exceptional compact matrix pseudogroups." Bulletin de la Société Mathématique de France 120.3 (1992): 297-325. <http://eudml.org/doc/87646>.
@article{Andruskiewitsch1992,
author = {Andruskiewitsch, Nicolás},
journal = {Bulletin de la Société Mathématique de France},
keywords = {exceptional Lie algebras; quantized enveloping algebras; compact matrix pseudogroups; real forms; -Hopf algebras},
language = {eng},
number = {3},
pages = {297-325},
publisher = {Société mathématique de France},
title = {Some exceptional compact matrix pseudogroups},
url = {http://eudml.org/doc/87646},
volume = {120},
year = {1992},
}
TY - JOUR
AU - Andruskiewitsch, Nicolás
TI - Some exceptional compact matrix pseudogroups
JO - Bulletin de la Société Mathématique de France
PY - 1992
PB - Société mathématique de France
VL - 120
IS - 3
SP - 297
EP - 325
LA - eng
KW - exceptional Lie algebras; quantized enveloping algebras; compact matrix pseudogroups; real forms; -Hopf algebras
UR - http://eudml.org/doc/87646
ER -
References
top- [A] ANDRUSKIEWITSCH (N.). — Some forms of Kac Moody algebras, J. Algebra, (to appear). Zbl0763.17022
- [AE] ANDRUSKIEWITSCH (N.) and ENRIQUEZ (B.). — Examples of Compact Matrix Pseudogroups arising from the twisting operation, Preprint. Zbl0756.17006
- [APW] ANDERSON (H.H.), POLO (P.) and WEN (K.). — Representations of quantum algebras, Invent. Math., t. 104, 1991, p. 1-60. Zbl0724.17012MR92e:17011
- [B] BOURBAKI (N.). — Groupes et algèbres de Lie, Chap. 4, 5 et 6. - Hermann, Paris, 1968.
- [D1] DRINFELD (V.G.). — Hopf algebras and the Yang-Baxter equation, Soviet Math. Dokl., t. 32, 1985, p. 254-258. Zbl0588.17015MR87h:58080
- [D2] DRINFELD (V.G.). — Quantum groups, Proc. of the ICM, Berkeley, 1986, pp. 798-820. Zbl0667.16003MR89f:17017
- [FRT] FADEEV (L.D.), RESHETIKHIN (N. Yu) and TAKHTAJAN (L.A.). — 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. Zbl0677.17010MR91d:17017
- [J] JIMBO (M.). — A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys., t. 10, 1985, p. 63-69. Zbl0587.17004MR86k:17008
- [L1] LUSZTIG (G.). — Quantum deformations of certain simple modules over enveloping algebras, Adv. in Math., t. 70, 1988, p. 237-249. Zbl0651.17007MR89k:17029
- [L2] LUSZTIG (G.). — Modular representations and quantum groups, Contemp. Math., t. 82, 1989, p. 59-77. Zbl0665.20022MR90a:16008
- [L3] LUSZTIG (G.). — Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. of Amer. Math. Soc., t. 3 (1), p. 257-296. Zbl0695.16006MR91e:17009
- [L4] LUSZTIG (G.). — Quantum groups at roots of 1, Geom. Dedicata, 1990. Zbl0714.17013
- [K] KAC (V.). — Infinite dimensional Lie algebras, Prog. in Math., vol. 44, Birkhauser, Boston, 1983. Zbl0537.17001MR86h:17015
- [Ko] KOSTANT (B.). — Groups over Z, Proc. Symp. Pur Math., Amer. Math. Soc., t. 6, 1966, p. 90-98. Zbl0199.06903MR34 #7528
- [KR] KULISH (P.P.) and RESHETIKHIN (N. Yu). — The quantum linear problem for the sine Gordon equation and higher representations, J. Soviet Math., t. 23 (4), 1983, p. 2435-2440.
- [Ma] MANIN (Yu.). — Quantum Groups. — Montreal Lectures, 1988.
- [Re] RESHETIKHIN (N.). — Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I-II, Preprint, L.O.M.I.
- [R1] ROSSO (M.). — 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. Zbl0651.17008MR90c:17019
- [R2] ROSSO (M.). — Algèbres envelopantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif, Duke Math. J, t. 61, 1990, p. 11-39. Zbl0721.17013MR92i:17022
- [Sk] SKLYANIN (E.K.). — On an algebra generated by quadratic relations, Uspekhi Mat. Nauk, t. 40, 2, 1985, p. 214. MR87m:81135
- [Sk2] SKLYANIN (E.K.). — Some algebraic structures connected with the Yang-Baxter equation. Representations of the quantum algebra, Funct. An. Appl., t. 17, 1983, p. 34-48. Zbl0536.58007MR85k:82011
- [T] TAKEUCHI (M.). — Quantum Orthogonal and Symmetric Groups and their Embedding into Quantum GLn, Proc. Japan Acad. Ser. A, t. 65, 2, 1989, p. 55-58. Zbl0694.16009MR90j:16024
- [VS] VAKSMAN (L.L.) and SOIBELMAN (Ya.S.). — Algebra of functions on the quantum group SU(2), Funct. An. Appl., t. 22, 1988, p. 170-181. Zbl0679.43006MR90f:17019
- [W1] WORONOWICZ (S.L.). — Twisted SU(2) Group. An example of Non-Commutative Differential Calculus, Publ. RIMS, Kyoto Univ., t. 23, 1987, p. 117-181. Zbl0676.46050MR88h:46130
- [W2] WORONOWICZ (S.L.). — Compact matrix pseudogroups, Comm. in Math. Phys., t. 111, 1987, p. 613-665. Zbl0627.58034MR88m:46079
- [W3] WORONOWICZ (S.L.). — Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU (N) groups, Invent. Math., t. 93, 1988, p. 35-76. Zbl0664.58044MR90e:22033
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.