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Communications in Algebra Volume 29, 2001 - Issue 11
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Original Articles

WEIGHT PROPERTY FOR IDEALS OF Uq(sl(2))

Libin Li Department of Mathematics, Yangzhou University, Yangzhou, 225002, China
&
Pu Zhang Department of Mathematics, University of Science and Technology of China, Hefei, 230026, China
Pages 4853-4870 | Received 01 Jun 1999, Published online: 01 Feb 2007

REFERENCES

  • Anderson , H. H. , Pole , P. and Wen , K. 1991 . Representations of Quantum Algebras . Invent. Math. , 104 : 1 – 59 .
  • Bavula , V. V. 1993 . Description of Two-Sided Ideals in a Class of Non-commutative Rings . Ukrainian Math. J. , 45 : 223 – 234 .
  • Catoiu , S. 1998 . Ideals of the Enveloping Algebra U(sl(2)) . J. Alg. , 202 : 142 – 177 .
  • 1977 . “ Dixmier ” . In Enveloping Algebra New York : North-Holland .
  • 1973 . Dixmier, Quotient Simples de I'algèbre enveloppante de sl(2) . J. Alg. , 24 : 551 – 564 .
  • Drinfeld , V. G. 1985 . Hopf Algebras and Quantum Yang-Baxter Equation . Soviet. Math. Dokl. , 32 : 254 – 258 .
  • Drinfeld , V. G. 1986 . Quantum Groups 798 – 820 . Berkeley : Proc. ICM .
  • Joseph , A. and Letzter , G. 1992 . Local Finiteness of the Adjoint Action for Quantized Enveloping Algebra . J. Alg. , 153 ( 2 ) : 289 – 318 .
  • Joseph , A. and Letzter , G. 1994 . Separation of Variables for Quantized Enveloping Algebra . Amer. J. Maths. , 116 : 127 – 177 .
  • Joseph , A. 1995 . Quantum Groups and their Primitive Ideals, Ergebnisses de Mathematik und Inhrer Grenzgebiete Vol. 29 , Springer Verlag .
  • Jimbo , M. 1985 . A q-Difference Analoue of U(g) and the Yang-Baxter Equation . Lett. Math. Phys. , 10 : 63 – 69 .
  • Kassel , C. 1995 . Quantum Groups New York : Springer-Verlag .
  • Kirby , R. and Melvin , P. 1991 . The 3-Manifold Invariants of Witten and Reshetikhin–Turaev for sl(2, C) . Invent. Math. , 105 : 473 – 545 .
  • Li , Li-Bin. and Zhang , Pu. 2000 . Quantum Adjoint Action for Uq (sl(2)) . Algebra Colloquium , 7 : 369 – 379 .
  • McConnell , J. C. and Robson , J. C. 1987 . Noncommutative Noetherian Rings New York : Wiley-Interscience .
  • Nouazé , Y. and Gabriel , P. 1967 . Idéaux Premiers de I'algèbre Enveloppante d';une Algèbre de Lie Nilpotente . J. Alg. , 6 : 77 – 99 .
  • Reshetikhin , N. Y. and Turaev , V. G. 1991 . Invariants of 3-Manifolds Via Link Polynomials and Quantum Groups . Invent. Math. , 103 : 547 – 597 .
  • Sweedler , M. 1969 . Hopf Algebra New York : Benjamin .
  • Takeuchi , M. 1992 . Hopf Algebra Techniques Applied to the Quantum Group U q (sl(2)) . Contemp. Math. , 134 : 309 – 323 .
  • Xiao , Jie. 1997 . Finite Dimensional Representations of Ut (sl(2)) at Roots of Unity . Cand. J. Math. , 49 : 771 – 787 .

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