PRIME IDEALS OF THE COORDINATE RING OF QUANTUM SYMPLECTIC SPACE

REFERENCES

• Goodearl , K. R. and Letzter , E. S. 2000 . The Dixmier-Moenglin Equivalence in Quantum Coordinate Rings and Quantized Weyl Algebras . Trans. Amer. Math. Soc. , : 1381 – 1403 .
   Web of Science ®Google Scholar
• Oh , Sei-Qwon . 1995 . Primitive Ideals of the Coordinate Ring of Quantum Symplectic Space . J. Algebra , : 531 – 552 .
   Web of Science ®Google Scholar
• Goodearl , K. R. and Letzter , E. S. 1998 . Prime and primitive spectra of multiparameter quantum affine spaces. Trends in ring theory . CMS Conf. Proc. 1998 . Edited by: V. , et al. and Dlab . Vol. 22 , pp. 39 – 58 .
   Google Scholar
• McConnell , J. C. and Pettit , J. J. 1988 . Crossed Products and Multiplicative Analogues of Weyl Algebras . J. London Math. Soc. , 2 ( 38 ) : 47 – 55 .
   Google Scholar
• Musson , I. M. Ring Theoretic Properties of the Coordinate Rings of Quantum Symplectic and Euclidean Space in Ring Theory . Proc. Biennial Ohio State-Denison Conf. 1992 . Edited by: Jain , S. K. and Rizvi , S. T. pp. 248 – 258 . Singapore : World Scientific .
   Google Scholar
• Reshetikhin , N. Yu. , Takhtadzhyan , N. Yu. and Faddeev , L. D. 1990 . Quantization of Lie groups and Lie algebras . Leningrad Math. J , : 193 – 225 .
   Google Scholar
• Smith , S. P. 1992 . “ Quantum groups: An introduction and survey for ring theorists ” . In Noncommutative Rings Edited by: Montgomery , S. and Small , L. Vol. 24 , 131 – 178 . MSRI Publ .
   Google Scholar
• Oh , Sei-Qwon . 1997 . Catenarity in a Class of Iterated Skew Polynomial Rings . Comm. Algebra , 25 ( 1 ) : 37 – 49 .
   Web of Science ®Google Scholar
• Goodearl , K. R. and Letzter , E. S. 1994 . Prime Factor Algebras of the Coordinate Ring of Quantum Matrices . Proc. Amer. Math. Soc. , : 1017 – 1025 .
   Web of Science ®Google Scholar
• Goodearl , K. R. Prime spectra of quantized coordinate rings . Proceeding of Euroconference on Interactions Between Ring Theory and Representation Algebras . 2000 , New York . Edited by: Van Oystaeyen , F. and Saorin , M. pp. 205 – 237 . Murcia : Dekker .
   Google Scholar
• Goodearl , K. R. 1992 . Prime ideals in Skew Polynomial Rings and Quantized Weyl algebras . J. Algebra , : 324 – 377 .
   Web of Science ®Google Scholar
• Krause , G. R. and Lenagan , T. H. 1985 . Growth of Algebras and Gelfand-Kirillov Dimension , Research Notes in Mathematics Vol. 116 , London : Pitman Pub. Inc. .
   Google Scholar
• Gómez-Torrecillas , J. 1999 . Gelfand-Kirillov Dimension of Multi-filtered algebras . P. Edinburgh Math. Soc. , : 155 – 168 .
   Web of Science ®Google Scholar
• Bueso , J. L. , Castro , F. J. , Gómez-Torrecillas , J. and Lobillo , F. J. 1996 . Computing the Gelfand-Kirillov dimension . SAC Newsletter , : 39 – 52 . http://www.ugr.es/~torrecil/Sac.pdf
   Google Scholar
• Bueso , J. L. , Castro , F. J. , Gómez-Torrecillas , J. and Lobillo , F. J. 1998 . “ An introduction to effective calculus in quantum groups ” . In Rings, Hopf algebras and Brauer groups Edited by: Caenepeel , S. and Verschoren , A.
   Google Scholar
• Dixmier , J. 1974 . Algèbres enveloppantes, Gauthier-Villars ,
   Google Scholar
• Rigal , L. 1996 . Spectre de l'algèbre de Weyl quantique . Beiträge zur Algebra and Geometrie , 1 ( 37 ) : 119 – 148 .
   Google Scholar
• Bueso , J. L. , Gómez-Torrecillas , J. and Lobillo , F. J. 1999 . Re-filtering and exactness of the Gelfand-Kirillov dimension , preprint
   Google Scholar