Classical Lie Algebras at Infinity
Penkov, Ivan, Hoyt, Crystal
- 出版商: Springer
- 出版日期: 2023-01-07
- 售價: $5,260
- 貴賓價: 9.5 折 $4,997
- 語言: 英文
- 頁數: 239
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3030896625
- ISBN-13: 9783030896621
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商品描述
Preface.- Notation and Terminology. - I. Structure of Locally Reductive Lie Algebras.- 1. Finite-dimensional Lie algebras.- 2. Finite-dimensional Lie superalgebras.- 3. Root-reductive Lie algebras.- 4. Two generalizations.- 5. Splitting Borel subalgebras of sl(infinity), frak o (infinity), sp(infinity) and generalized flags.- 6. General Cartan, Borel and parabolic subalgebras of gl(infinity) and sl(infinity).- II. Modules over Locally Reductive Lie Algebras.- 7. Tensor modules of sl(infinity), frak o(infinity), sp (infinity).- 8. Weight modules.- 9.Generalized Harish-Chandra modules.- III. Geometric aspects. - 10.The Bott-Borel-Weil Theorem.- References.- Index of Notation.- Index.
