Completely prime maximal ideals and quantization

Completely prime maximal ideals and quantization

by McGovern, William M.

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Let [Fraktur lowercase]g be a complex simple Lie algebra of classical type, [italic capital]U([Fraktur lowercase]g) its enveloping algebra. We classify the completely prime maximal spectrum of [italic capital]U([Fraktur lowercase]g). We also construct some interesting algebra extensions of primitive quotients of [italic capital]U([Fraktur lowercase]g), and compute their Goldie ranks, lengths as bimodules, and characteristic cycles. Finally, we study the relevance of these algebras to D. Vogan's…

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Title Statements

  • Full title :Completely prime maximal ideals and quantization / William M. McGovern.

Summary

Let [Fraktur lowercase]g be a complex simple Lie algebra of classical type, [italic capital]U([Fraktur lowercase]g) its enveloping algebra. We classify the completely prime maximal spectrum of [italic capital]U([Fraktur lowercase]g). We also construct some interesting algebra extensions of primitive quotients of [italic capital]U([Fraktur lowercase]g), and compute their Goldie ranks, lengths as bimodules, and characteristic cycles. Finally, we study the relevance of these algebras to D. Vogan's program of "quantizing" covers of nilpotent orbits [script]O in [Fraktur lowercase]g[superscript]*.

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Edition Statements

  • Publication Date:©1994.

Publication Statements

Notes

"Volume 108, number 519 (fourth of 5 numbers)."

The Physical Object

  • Description:viii, 67 pages : : illustrations, tables ; : 26 cm.

Edition Identifiers

  • ISBN:0821825801, 9780821825808
  • oclc:ocm29564946
  • LC Classification:QA3
  • Dewey Decimal:510 s

Subjects

31.23 rings, algebras Algebra Algebras de Lie Algèbres de Lie Algèbres enveloppantes universelles Einfache Lie-Algebra Einhüllende Algebra Ideals (Algebra) Idéaux (Algèbre) Lie algebras Maximales Ideal Représentations des algèbres Representations Of Algebras Universal enveloping algebra Universal enveloping algebras

Writers

McGovern, William M.

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