Cohomological Induction and Unitary Representations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Knapp, Anthony W./ Vogan, David A. 作者

Princeton Univ Pr

譯者

1995-5 出版日期

966 頁數

$ 177.98 價格

HRD

叢書系列

9780691037561 圖書編碼

Cohomological Induction and Unitary Representations 在線電子書圖書標籤: 數學錶示論 Math

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Cohomological Induction and Unitary Representations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Cohomological Induction and Unitary Representations 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Cohomological Induction and Unitary Representations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Cohomological Induction and Unitary Representations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

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This book offers a systematic treatment - the first in book form - of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. This book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. ??i??Cohomological Induction and Unitary Representations??i?? develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the ? ?i??translation principle??i??i??', and four appendices on algebra and analysis.

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