お店のコメント(スペック情報を含む場合もあり)
内容説明
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.
Book Description
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. The 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. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the ?translation principle,? and four appendices on algebra and analysis.
商品ジャンル
商品名
最終調査日時
2013/02/25 (Mon) 17:26:42
価格の変動(直近3回 : ¥0は未調査回)
取得日時
販売価格
ポイント
実質価格
在庫状態
2013/02/25 (Mon) 17:26:42
¥14,053
0 %
¥14,053
2012/04/23 (Mon) 09:11:12
¥12,817
0 %
¥12,817
2012/02/05 (Sun) 16:59:30
¥11,490
0 %
¥11,490
サイト内キーワード検索
商品名の検索は通常の商品検索ボックスで。
コメントやスペックなどから検索したい場合はこちらから。
コメントやスペックなどから検索したい場合はこちらから。
広告