Prime ideals of the enveloping algebra U(sl₃)

References

• Borho , W. and Jantzen , J.C. 1977 . Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra . Invent. Math , 39 : 1 – 53 .
   Web of Science ®Google Scholar
• Catoiu , S. 1997 . “ Ideals of Enveloping Algebras ” . In Ph.D Thesis , University of Wisconsin-Madison .
   Google Scholar
• Catoiu , S. 1998 . Ideals of the Enveloping Algebra U(sl 2) . J. of Algebra , 202 : 142 – 177 .
   Web of Science ®Google Scholar
• Catoiu , S. 1999 . Ideals in Tensor Powers of the Enveloping Algebra U(sl 2) . Comm. Alg , 27 : 5377 – 5404 .
   Web of Science ®Google Scholar
• Catoiu S. Ideals of the Enveloping Algebra U(sl2) preprint
   Google Scholar
• Dixmier , J. 1970 . “ Idéaux primitifs dans Valgebre enveloppante d'une algèbre de Lie semi-simple complexe ” . In C.R. Acad. Sc Vol. 271 , 134 – 136 . Paris
   Google Scholar
• Dixmier , J. 1971 . “ Idéaux primitifs d‘une I‘algèbre de Lie semi-simple complexe ” . In C. R. Acad. Sc Vol. 272 , 1628 – 1630 . Paris
   Google Scholar
• Dixmier J. Idéaux primitifs complètement premiers dans l‘algebre enveloppante de sl(3,C) Non-comm. Harmonic Analysis, Lecture Notes in Mathematics Springer-Verlag Heidelberg, New York 1975 466 Berlin
   Google Scholar
• Dixmier , J. 1996 . “ Enveloping Algebras ” . In Graduate Studies in Mathematics , Vol. II , A.M.S .
   Google Scholar
• Duflo , M. 1977 . Sur la classification des idèaux primitifs dans I‘algèbre enveloppante d‘une algèbre de Lie semi-simple . Annals of Mathematics , 105 : 107 – 120 .
   Google Scholar
• Humphreys , J. 1997 . Introduction to Lie Algebras and Representation Theory , Vol. GTM 9 , New York : Springer-Verlag .
   Google Scholar
• Jacobson , N. 1979 . Lie Algebras , New York : Dover .
   Google Scholar
• Jantzcu , J.C. 1983 . Einhüllende Algebren halbeinfacher Lie-Algebren , Berlin, New York : Springer . Heidelberg
   Google Scholar
• Joseph , A. 1976 . Primitive Ideals in the Enveloping Algebras of sl ₃and sp ₄ preprint
   Google Scholar
• Mcconnell , J.C. and Robson , J.C. 1987 . Noncommutative Noetherian Rings , New York : Wiley-Interscience .
   Google Scholar
• Nouazé , Y. and Gabriel , P. 1967 . Idèaux premiers de I‘algèbre enveloppante d‘une algèbre de Lie nilpotente . J. Algebra , 6 : 77 – 99 .
   Web of Science ®Google Scholar
• Passman , D.S. 1991 . A Course in Ring Theory , Wadsworth&Brooks/Cole .
   Google Scholar
• Soergel , W. 1990 . The Prime Spectrum of the Enveloping Algebra of a Reductive Lie Algebra . Math. Z , 204 : 559 – 581 .
   Web of Science ®Google Scholar