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Noncommutative Rings pp 27–67Cite as

Some Ring Theoretic Techniques and Open Problems in Enveloping Algebras

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Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 24))

Abstract

The theory of enveloping algebras of Lie algebras underwent an explosive development during the period 1975–1985. This was due in part to the very rich structure afforded by the semisimple case and in part to the ever growing range of available techniques. This resulted in a certain suffocation and the subject is only now emerging from a quiescent phase. The resurgence is also due to interest in the related fields of graded Lie algebras, Kac-Moody algebras and Quantum groups.

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Author information

Authors and Affiliations

  1. The Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel

    Anthony Joseph (The Donald Frey Professorial Chair)

  2. Laboratoire de Mathématiques Fondamentales, Équipe de récherche associée au CNRS, 4 Place Jussieu, 75232, Paris, Cedex 05, France

    Anthony Joseph (The Donald Frey Professorial Chair)

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  1. Anthony Joseph
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089, USA

    Susan Montgomery

  2. Department of Mathematics, University of California at San Diego, La Jolla, CA, 92093, USA

    Lance Small

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© 1992 Springer-Verlag New York, Inc.

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Joseph, A. (1992). Some Ring Theoretic Techniques and Open Problems in Enveloping Algebras. In: Montgomery, S., Small, L. (eds) Noncommutative Rings. Mathematical Sciences Research Institute Publications, vol 24. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9736-6_2

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  • DOI: https://doi.org/10.1007/978-1-4613-9736-6_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9738-0

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