Œuvres Collected papers

著者

• Borel, Armand

書誌事項

Œuvres = Collected papers

Armand Borel

Springer-Verlag, 1983-

• : set : Berlin
• : set : New York
• v. 1
• v. 2
• v. 3
• v. 4

注記

English, French, and German

Vol. 1. 1948-1958 -- v. 2. 1959-1968 -- v. 3. 1969-1982 -- v. 4. 1983-1999

Includes bibliographies

内容説明・目次

巻冊次

: set : Berlin ISBN 9783540121268

内容説明

Armand Borel's mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel's work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan, and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas." He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume I collects the papers written from 1948 to 1958.

目次

(avec J. de Siebenthal) Sur les sous-groupes fermes connexes de rang maximum des groupes de Lie clos.- Some remarks about Lie groups transitive on spheres and tori.- (avec J. de Siebenthal) Les sous-groupes fermes de rang maximum des groupes de Lie clos.- Limites projectives de groupes de Lie.- Sections locales de certains espaces fibres.- Le plan projectif des octaves et les spheres comme espaces homogenes.- Groupes localement compacts.- (avec J-P. Serre) Impossibilite de fibrer un espace euclidien par des fibres compactes.- Remarques sur l'homologie filtree.- Impossibilite de fibrer une sphere par un produit de spheres.- Sous-groupes compacts maximaux des groupes de Lie.- Sur la cohomologie des varietes de Stiefel et de certains groupes de Lie.- La transgression dans les espaces fibres principaux.- Sur la cohomologie des espaces homogenes de groupes de Lie compacts.- (avec J-P. Serre) Determination des p-puissances reduites de Steenrod dans la cohomologie des groupes classiques. Applications.

巻冊次

v. 4 ISBN 9783540676409

内容説明

This volume contains the papers published by A. Borel from 1983 to 1999. About half of them are research papers, written singly or in collaboration, on various topics pertaining mainly to algebraic or Lie groups, homogeneous spaces, arithmetic groups (L2-spectrum, automorphic forms, cohomology and covolumes), L2-cohomology of symmetric or locally symmetric spaces, and to the Oppenheim conjecture. Other publications include some surveys, some personal recollections (of D. Montgomery, Harish-Chandra, A. Weil), some considerations on mathematics in general and several articles of a historical nature : on the School of Mathematics at the Institute for Advanced Study, on N. Bourbaki and on parts of the works of H. Weyl, C. Chevalley, E. Kolchin, J. Leray, A. Weil. The volume concludes with an essay on H. Poincare and special relativity. Some comments on, and corrections to, a number of papers have been added.

目次

Papers by Armand Borel published from 1983 to 1999.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA00761827
• ISBN:
  • 3540121269
  • 0387121269
  • 3540676406
• LCCN: 83014828
• 出版国コード: gw
• タイトル言語コード: fre
• 本文言語コード: engfreger
• 出版地: Berlin
• ページ数/冊数: v.
• 大きさ: 25 cm
• 分類:
  • LCC : QA3
  • DC19 : 512
  • NDC8 : 410.8
  • NDLC : MA21
• 件名:
  • LCSH : Mathematics -- Collected works