现货Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926[9780128142448]

1898 九五品

库存3件

上海宝山

认证卖家担保交易快速发货售后保障

作者Cogliati, Alberto

出版社Academic Press

ISBN9780128142448

出版时间2017-10

装帧平装

纸张其他

页数300页

正文语种英语

上书时间2023-08-03

已实名已认证进店收藏店铺

商品描述: Writing Small Omegas: Elie Cartan''s Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie''s classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups.- Discusses the origins of the theory of moving frames and the geometrical theory of Lie groups- Reviews Cartan’s revolutionary contributions to Lie group theory and differential geometry- Evaluates many unpublished sources that shed light on important aspects of the historical development of Lie algebras

— 没有更多了 —