Description

Book Synopsis
Presents a systematic exposition of the algebraic approach to representations of Lie groups via representations of (or modules over) the corresponding universal enveloping algebras. This book provides the reader with insight and understanding of this subject. It is also suitable as a textbook for a graduate course.

Table of Contents
Lie algebras Enveloping algebras Two-sided ideals in enveloping algebras Centres Induced representations Primitive ideals (the solvable case) Verma modules The enveloping algebra of a semi-simple Lie algebra Harish-Chandra modules Primitive ideals (the general case) Appendix Problems Bibliography Added in 1996 Index.

Enveloping Algebras

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    A Hardback by Jacques Dixmier

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      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/1996 12:00:00 AM
      ISBN13: 9780821805602, 978-0821805602
      ISBN10: 0821805606

      Description

      Book Synopsis
      Presents a systematic exposition of the algebraic approach to representations of Lie groups via representations of (or modules over) the corresponding universal enveloping algebras. This book provides the reader with insight and understanding of this subject. It is also suitable as a textbook for a graduate course.

      Table of Contents
      Lie algebras Enveloping algebras Two-sided ideals in enveloping algebras Centres Induced representations Primitive ideals (the solvable case) Verma modules The enveloping algebra of a semi-simple Lie algebra Harish-Chandra modules Primitive ideals (the general case) Appendix Problems Bibliography Added in 1996 Index.

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