Regularity of the four dimensional Sklyanin algebra
Compositio Mathematica (1992)
- Volume: 83, Issue: 3, page 259-289
- ISSN: 0010-437X
Access Full Article
topHow to cite
topSmith, S. P., and Stafford, J. T.. "Regularity of the four dimensional Sklyanin algebra." Compositio Mathematica 83.3 (1992): 259-289. <http://eudml.org/doc/90169>.
@article{Smith1992,
author = {Smith, S. P., Stafford, J. T.},
journal = {Compositio Mathematica},
keywords = {Sklyanin algebra; graded -algebra; generators; relations; Noetherian domain; Hilbert series; regular graded algebra; global homological dimension; Gelfand-Kirillov dimension; elliptic curves; theta functions},
language = {eng},
number = {3},
pages = {259-289},
publisher = {Kluwer Academic Publishers},
title = {Regularity of the four dimensional Sklyanin algebra},
url = {http://eudml.org/doc/90169},
volume = {83},
year = {1992},
}
TY - JOUR
AU - Smith, S. P.
AU - Stafford, J. T.
TI - Regularity of the four dimensional Sklyanin algebra
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 83
IS - 3
SP - 259
EP - 289
LA - eng
KW - Sklyanin algebra; graded -algebra; generators; relations; Noetherian domain; Hilbert series; regular graded algebra; global homological dimension; Gelfand-Kirillov dimension; elliptic curves; theta functions
UR - http://eudml.org/doc/90169
ER -
References
top- [An] D.J. Anick, On the homology of associative algebras, Trans. Amer. Math. Soc., 296 (1986), 641-659. Zbl0598.16028MR846601
- [AS] M. Artin and W. Schelter, Graded algebras of global dimension 3, Adv. Math., 66 (1987), 171-216. Zbl0633.16001MR917738
- [ATV1] M. Artin, J. Tate and M. van den Bergh, Some algebras associated to automorphisms of elliptic curves, The Grothendieck Festschrift, P. Cartier et al. Editors, Birkhauser (1990). Zbl0744.14024MR1086882
- [ATV2] M. Artin, J. Tate and M. van den Bergh.Modules over regular algebras of dimension 3, Invent Math. (to appear). Zbl0763.14001MR1128218
- [AV] M. Artin and M. van den Bergh, Twisted homogeneous coordinate rings, J. Algebra, 133 (1990), 249-271. Zbl0717.14001MR1067406
- [Be] G.M. Bergman, The diamond lemma for ring theory, Adv. Math., 29 (1978), 178-218. MR506890
- [Ch] I.V. Cherednik, On R-matrix quantization of formal loop groups (in Russian), in Group-theoretic methods in Physics. Proc. Yurmal Conference, Moscow: Nauka, 1985. Zbl0674.17002MR919789
- [Co] P.M. Cohn, Algebra, Vol. 2, Wiley, London, 1977. Zbl0341.00002MR530404
- [Ha] R. Hartshorne, Algebraic Geometry, Springer-Verlag (1977). Zbl0367.14001MR463157
- [Hu] D. Husemöller, Elliptic Curves, Springer-Verlag (1987). Zbl0605.14032MR868861
- [Ji] M. Jimbo, A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys., 10 (1985), 63-69. Zbl0587.17004MR797001
- [KL] G. Krause and T.H. Lenagan, Growth of Algebras and Gelfand-Kirillov Dimension, Pitman, London, (1985). Zbl0564.16001MR781129
- [Ma1] Yu. I. Manin, Some remarks on Koszul algebras and Quantum groups, Ann. Inst. Fourier, 37 (1987) 191-205. Zbl0625.58040MR927397
- [Ma2] Yu. I. Manin, Quantum groups and Non-commutative geometry, Les Publ. du Centre de Recherches Math., Université de Montreal, 1988. Zbl0724.17006MR1016381
- [MR] J C. McConnell and J.C. Robson, Non-commutative Noetherian Rings, Wiley-Interscience, Chichester, 1987. Zbl0644.16008
- [Mu1] D. Mumford, Abelian Varieties, Oxford Univ. Press, 1975. Zbl0326.14012MR485875
- [Mu2] D. Mumford, Varieties defined by quadratic relations, in Questions on Algebraic Varieties, Ed. E. Marchionne, C.I.M.E., III Ciclo, Varenna1969, Roma1970. Zbl0198.25801MR282975
- [OF1] A.V. Odesskii and B.L. Feigin, Sklyanin algebras associated with an elliptic curve (in Russian), Preprint (1989). MR1026987
- [OF2] A.V. Odesskii and B.L. Feigin, Elliptic Sklyanin algebras (in Russian), Funk. Anal. Prilozh., 23(3) (1989), 45-54. Zbl0687.17001MR1026987
- [Pr] S.B. Priddy, Koszul resolutions, Trans. Amer. Math. Soc., 152 (1970), 39-60. Zbl0261.18016MR265437
- [Ro] J.J. Rotman, An Introduction to Homological Algebra, Academic Press, 1979. Zbl0441.18018MR538169
- [Sk1] E.K. Sklyanin, Some algebraic structures connected to the Yang-Baxter equation, Func. Anal. Appl., 16 (1982), 27-34. Zbl0513.58028MR684124
- [Sk2] E.K. Sklyanin, Some algebraic structures connected to the Yang-Baxter equation. Representations of Quantum algebras, Func. Anal. Appl., 17 (1983), 273-284. Zbl0536.58007MR725414
- [We] H.M. Weber, Lehrbuch der Algebra, Vol. 3, Chelsea Publ. Co., New York (1961).
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.