Lie groups
著者
書誌事項
Lie groups
（Cambridge tracts in mathematics and mathematical physics, No. 46）
Cambridge University Press, 2008, c1965
- : pbk
大学図書館所蔵 件 / 全3件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Reprint from the 1968 printing
"This digitally printed version 2008"--T.p. verso
内容説明・目次
内容説明
The theory of Lie groups rests on three pillars: analysis, topology and algebra. Correspondingly it is possible to distinguish several phases, overlapping in some degree, in its development. It also allows one to regard the subject from different points of view, and it is the algebraic standpoint which has been chosen in this tract as the most suitable one for a first introduction to the subject. The aim has been to develop the beginnings of the theory of Lie groups, especially the fundamental theorems of Lie relating the group to its infinitesimal generators (the Lie algebra); this account occupies the first five chapters. Next to Lie's theorems in importance come the basic properties of subgroups and homomorphisms, and they form the content of Chapter VI. The final chapter, on the universal covering group, could perhaps be most easily dispensed with, but, it is hoped, justifies its existence by bringing back into circulation Schreier's elegant method of constructing covering groups.
目次
- 1. Analytic manifolds
- 2. Topological groups and Lie groups
- 3. The Lie algebra of a Lie group
- 4. The algebra of differential forms
- 5. Lie's Fundamental Theorems
- 6. Subgroups and homomorphisms
- 7. The universal covering group.
「Nielsen BookData」 より
