STRATIFICATION OF PRIME SPECTRUM OF QUANTUM SOLVABLE ALGEBRAS

REFERENCES

• Alev , J. and Dumas , F. 1998 . Corps de Weyl Mixtes, preprint ESA 6056 Universite´ de Reims .
   Google Scholar
• Borho , W. , Gabriel , P. and Rentschler , R. 1973 . “ Lecture Notes in Math. ” . In Primideale in Einhullenden Auflosbarer Lie-Algeren Vol. 357 , Berlin : Springer .
   Google Scholar
• Bourbaki , N. Algebra Paris : Hermann-Editeurs .
   Google Scholar
• Dixmier , J. 1974 . Algèbres Enveloppantes Paris : Gauthier-Villars .
   Google Scholar
• Demidov , E. E. 1998 . Quantum Groups Moscow : Factorial .
   Google Scholar
• Cauchon , G. Effacement des Dèrivations et Quotients Premiers de Uq w (g), preprint
   Google Scholar
• Cauchon , G. Spectre Premier de Oq (Mn (k)). Image Canonique et Separation Normale, preprint
   Google Scholar
• De Concini , C. and Kac , V. G. 1990 . Representations of Quantum Groups at Roots of 1 . Progress in Math. Birkhauser , 92 : 471 – 506 .
   Google Scholar
• Goodearl , K. R. and Letzter , E. S. 1994 . Prime Ideals in Skew and q-Skew Polynomial Rings Memoirs AMS . : 521
   Google Scholar
• Goodearl , K. R. and Letzter , E. S. Prime Factor Algebras of the Coordinate Ring of Quantum Matrices . Proc. Amer. Math. Soc. , 121 ( 4 ) 1017 – 1025 .
   Web of Science ®Google Scholar
• Goodearl , K. R. 2000 . Prime Spectra of Quantized Coordinate Rings Math QA/9903091 . Lecture Notes in Pure and Appl. Math. , 210 : 205 – 237 .
   Google Scholar
• Jordan , D. A. 1984 . Simple Skew Polynomial Rengs . Comm. Alg. , : 135 – 137 .
   Web of Science ®Google Scholar
• Lustig , G. 1990 . Quantum Groups at Roots of 1 . Geom. Ded. , 35 : 89 – 114 .
   Web of Science ®Google Scholar
• McConnel , J. C. and Robson , J. C. 1987 . Noncommutative Noetherian Rings New York : Wileys-Interscience .
   Google Scholar
• Mosin , V. G. and Panov , A. N. 1996 . Division Rings of Quotients and Central Elements of Multiparameter Quantizations . Sbornik: Mathematics , 187 ( 6 ) : 835 – 855 .
   Web of Science ®Google Scholar
• Panov , A. N. 2001 . Skew Fields of Fractions of Quantum Solvable Algebras, Math QA/9906060 . J. Algebra , 236 : 10 – 121 .
   Web of Science ®Google Scholar
• Panov , A. N. 2000 . Fields of Fractions of Some SLq -Motion Algebras . Czech. J. Physics , 50 ( 11 ) : 1329 – 1334 .
   Web of Science ®Google Scholar