no. 1
Modules over the 4-dimensional Sklyanin algebra
Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 1, pp. 35-90. 
@article{BSMF_1993__121_1_35_0,
     author = {Levasseur, Thierry and Smith, S.Paul},
     title = {Modules over the 4-dimensional {Sklyanin} algebra},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {35--90},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {121},
     number = {1},
     year = {1993},
     doi = {10.24033/bsmf.2200},
     mrnumber = {94f:16054},
     zbl = {0823.17020},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2200/}
}
TY  - JOUR
AU  - Levasseur, Thierry
AU  - Smith, S.Paul
TI  - Modules over the 4-dimensional Sklyanin algebra
JO  - Bulletin de la Société Mathématique de France
PY  - 1993
SP  - 35
EP  - 90
VL  - 121
IS  - 1
PB  - Société mathématique de France
UR  - http://www.numdam.org/articles/10.24033/bsmf.2200/
DO  - 10.24033/bsmf.2200
LA  - en
ID  - BSMF_1993__121_1_35_0
ER  - 
%0 Journal Article
%A Levasseur, Thierry
%A Smith, S.Paul
%T Modules over the 4-dimensional Sklyanin algebra
%J Bulletin de la Société Mathématique de France
%D 1993
%P 35-90
%V 121
%N 1
%I Société mathématique de France
%U http://www.numdam.org/articles/10.24033/bsmf.2200/
%R 10.24033/bsmf.2200
%G en
%F BSMF_1993__121_1_35_0
Levasseur, Thierry; Smith, S.Paul. Modules over the 4-dimensional Sklyanin algebra. Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 1, pp. 35-90. doi : 10.24033/bsmf.2200. http://www.numdam.org/articles/10.24033/bsmf.2200/

[1] Artin (M.) and Schelter (W.F.). - Graded algebras of global dimension 3, Advances in Math., t. 66 n° 2, 1987, p. 171-216. | MR | Zbl

[2] Artin (M.), Tate (J.) and Van Den Bergh (M.). - Some Algebras Associated to Automorphisms of Elliptic Curves, The Grothendieck Festschrift. - P. Cartier et al. Editors, Birkhauser, 1990. | MR | Zbl

[3] Artin (M.), Tate (J.) and Van Den Bergh (M.). - Modules over regular algebras of dimension 3, Invent. Math., t. 106, 1991, p. 335-388. | MR | Zbl

[4] Artin (M.) and Van Den Bergh (M.). - Twisted homogeneous coordinate rings, J. of Algebra, t. 133, 1990, p. 249-271. | MR | Zbl

[5] Björk (J.E.). - Rings of Differential Operators. - North-Holland, 1979. | Zbl

[6] Björk (J.E.). - The Auslander Condition on Noetherian Rings, Séminaire Dubreil-Malliavin 1987-1988, Lect. Notes in Math. 1404, Springer-Verlag, 1989, p. 137-173. | Zbl

[7] Björk (J.E.) and Ekström (E.K.). - Filtered Auslander-Gorenstein Rings, Colloque en l'honneur de J. Dixmier. - Birkhauser, 1991.

[8] Ekström (E.K.). - The Auslander condition on graded and filtered noetherian rings, Séminaire Dubreil-Malliavin 1987-1988, Lect. Notes in Math. 1404, Springer-Verlag, 1989, p. 220-245. | Zbl

[9] Krause (G.) and Lenagan (T.H.). - Growth of Algebras and Gelfand-Kirillov Dimension. - Research Notes in Math. 116, Pitman, London, 1985. | MR | Zbl

[10] Levasseur (T.). - Complexe bidualisant en algèbre non-commutative, Séminaire Dubreil-Malliavin 1983-1984, Lect. Notes in Math. 1146, Springer Verlag, 1985, p. 270-287. | MR | Zbl

[11] Levasseur (T.). - Some properties of non-commutative regular graded rings, Glasgow J. Math., to appear. | Zbl

[12] Li Huishi. - Non-commutative Zariskian rings, Ph. D. Thesis, U.I.A. Antwerp, 1989.

[13] Mumford (D.). - Varieties defined by quadratic relations, in Questions on Algebraic Varieties. - Ed. E. Marchionne, C.I.M.E., III Ciclo, Varenna 1969, Roma, 1970. | Zbl

[14] Odesskii (A.V.) and Feigin (B.L.). - Sklyanin algebras associated with an elliptic curve (in Russian). - Preprint, 1989.

[15] Odesskii (A.V.) and Feigin (B.L.). - Elliptic Sklyanin algebras (in Russian), Funk. Anal. Prilozh., t. 23 (3), 1989, p. 45-54. | MR

[16] Salmon (G.). - A Treatise on Analytic Geometry of Three Dimensions, 7th Ed. - Chelsea Publ. Co., New York, 1927.

[17] Sklyanin (E.K.). - Some algebraic structures connected to the Yang-Baxter equation, Func. Anal. Appl., t. 16, 1982, p. 27-34. | MR | Zbl

[18] Sklyanin (E.K.). - Some algebraic structures connected to the Yang-Baxter equation. Representations of Quantum algebras, Func. Anal. Appl., t. 17, 1983, p. 273-284. | MR | Zbl

[19] Small (L.W.) and Warfield (R.B.). - Prime Affine Algebras of Gelfand-Kirillov Dimension One, J. Algebra, t. 91, 1984, p. 386-389. | MR | Zbl

[20] Smith (S.P.). - A remark on Gelfand-Kirillov Dimension, Preprint, 1990.

[21] Smith (S.P.) and Stafford (J.T.). - Regularity of the four dimensional Sklyanin algebra, Compositio Math., to appear. | Numdam | Zbl

[22] Stafford (J.T.). - Stable Structure of Non-commutative Noetherian Rings, II, J. Algebra, t. 52, 1978, p. 218-235. | MR | Zbl

[23] Stafford (J.T.). - Regularity of Algebras related to the Sklyanin algebra. - Preprint, 1990.

[24] Weber (H.M.). - Lehrbuch der Algebra, Vol. 3. - Chelsea Publ. Co., New York, 1961.

[25] Yekutieli (A.). - The Residue Complex and Duality for some non commutative rings. - Ph. D. Thesis, MIT, 1990.

Cité par Sources :