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Parshall, Brian; Wang, Jian-Pan. Cohomology of Quantum Groups: the Quantum Dimension. Canadian journal of mathematics, Tome 45 (1993) no. 6, pp. 1276-1298. doi: 10.4153/CJM-1993-072-4
@article{10_4153_CJM_1993_072_4,
author = {Parshall, Brian and Wang, Jian-Pan},
title = {Cohomology of {Quantum} {Groups:} the {Quantum} {Dimension}},
journal = {Canadian journal of mathematics},
pages = {1276--1298},
year = {1993},
volume = {45},
number = {6},
doi = {10.4153/CJM-1993-072-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1993-072-4/}
}
TY - JOUR AU - Parshall, Brian AU - Wang, Jian-Pan TI - Cohomology of Quantum Groups: the Quantum Dimension JO - Canadian journal of mathematics PY - 1993 SP - 1276 EP - 1298 VL - 45 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1993-072-4/ DO - 10.4153/CJM-1993-072-4 ID - 10_4153_CJM_1993_072_4 ER -
[1] 1. Andersen, H.H., Tensor products of quantized tilting modules, Commun. Math. Phys. 149(1992), 149–159. Google Scholar
[2] 2. Andersen, H.H. and Jantzen, J.C., Cohomology of induced representations for algebraic groups, Math. Ann. 269(1984), 487–525. Google Scholar
[3] 3. Andersen, H.H., Polo, P. and Wen, K., Representations of quantum algebras, Invent, math. 104(1991), 1–59. Google Scholar
[4] 4. Andersen, H.H., Injective modules for quantum algebras, Amer. Jour. Math. 114(1992), 571–604. Google Scholar
[5] 5. Cline, E., Parshall, B. and Scott, L., Finite dimensional algebras and highest weight categories, J. Reine Angew. Math. 391(1988), 85–99. Google Scholar
[6] 6. Drinfel, V.G.'d, On almost cocommutative Hopf algebras, Leningrad Math. J. 1(1990), 321–342. Google Scholar
[7] 7. Friedlander, E. and Parshall, B., Geometry of p-unipotent Lie algebras, J. Algebra 109(1987), 25–45. Google Scholar
[8] 8. Friedlander, E., Support varieties for restricted Lie algebras, Invent, math. 86(1986), 553–562. Google Scholar
[9] 9. Fuchs, J., Affine Lie Algebras and Quantum Groups, Cambridge University Press, 1992. Google Scholar
[10] 10. Ginzberg, V. and Kumar, S., Cohomology of quantum groups at roots of unity, Duke Math. J. 69(1993), 179–198. Google Scholar
[11] 11. Hayashi, T., Quantum deformation of classical groups, Publ. RIMS, Kyoto Univ. 28(1992), 57–81. Google Scholar
[12] 12. Humphreys, J.E., Reflection Groups and Coxeter Groups, Cambridge studies in advanced mathematics (29), Cambridge University Press, 1990. Google Scholar
[13] 13. Janiszczak, I. and Jantzen, J.C., Simple periodic modules over Chevalley groups, J. London Math. Soc. (2) 41(1990), 217–230. Google Scholar
[14] 14. Janiszczak, I. and Jantzen, J.C., Kohomologie von p-Lie-Algebren und nilpotente Elemente, Abh. Math. Sem. Univ. Hamberg 56(1986), 191–219. Google Scholar
[15] 15. Janiszczak, I. and Jantzen, J.C., Restricted Lie algebra cohomology, Algebraic Groups: Proceedings of a Symposium in Honor of T.A. Springer, Springer-Verlag, 1987.91-108. Google Scholar
[16] 16. Janiszczak, I. and Jantzen, J.C., Support varieties ofWeyl modules, Bull. London Math. Soc. 19(1987), 238–244. Google Scholar
[17] 17. Janiszczak, I. and Jantzen, J.C., Representations of Algebraic Groups, Academic Press, 1987. Google Scholar
[18] 18. Kac, V.G., Infinite Dimensional Lie Algebras, Cambridge Univ. Press, 1990. Google Scholar
[19] 19. Kazhdan, D. and Lusztig, G., Affine Lie algebras and quantum groups, International Math. Res. Notices, Duke Math. J. 2(1991), 21–29. Google Scholar
[20] 20. Lusztig, G., Introduction to quantized enveloping algebras, In: New Developments in Lie Theory and Their Applications, (eds. Tirao, J. and Wallach, N.), Birkhauser, 1992.49-66. Google Scholar
[21] 21. Parshall, B. and J.-p. Wang, Quantum linear groups, Memoirs A.M.S. (439), 1991. Google Scholar
[22] 22. Parshall, B., Cohomology of infinitesimal quantum groups, I, Tôhoku Math. J. 44(1992), 395–423. Google Scholar
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