Skip to main content
×
Home
    • Aa
    • Aa

Homological properties of the enveloping algebra U(Sl2)

  • J. T. Stafford (a1)
Abstract

In this paper we will study the homological properties of the enveloping algebra U = U (Sl2(ℂ)), with particular reference to the homological dimension of simple U-modules and the global dimension of the primitive factor rings of U.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

(1)F. W. Anderson and K. R. Fuller Rings and categories of modules (Graduate Texts in Mathematics, no. 13, Springer-Verlag, Berlin, New York, 1974).

(5)W. Borho and R. Rentschler Oresche Teilmengen in Einhullenden Algebren. Math. Ann. 217 (1975), 201210.

(7)J. Dixmier Enveloping algebras (North Holland, Amsterdam, 1977).

(8)J. Dixmier Quotients simple de l'algèbre enveloppante de sl2. J. Algebra. 24 (1973), 551564.

(9)K. L. Fields On the global dimension of skew polynomial rings – an addendum. J. Algebra 14 (1970), 528530.

(14)J. T. Stafford Completely faithful modules and ideals of simple Noetherian rings. Bull. London Math. Soc. 8 (1976), 168173.

(15)J. T. Stafford Stable structure of noncommutative Noetherian rings. J. Algebra. 47 (1977), 244267.

(16)J. T. Stafford Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings. J. Algebra 69 (1981), 312346.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×