Authors:Wolfgang Bertram(IECN) Download PDF. 0000001844 00000 n Differential Geometry, Lie Groups, and Symmetric Spaces Sigurdur Helgason Graduate Studies in Mathematics Volume 34 nSffvjl American Mathematical Society ™l Providence, Rhode Island. 0000000884 00000 n Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings. hal-00004190v2 hal-00004190, version 2 - 7 Dec 2006 Wolfgang Bertram (Institut Elie Cartan, Nancy) Differential Geometry over General Base Fields and Rings Version to appear in the Memoirs of the … 0000012149 00000 n CONTENTS PREFACE xiii PREFACE TO THE 2001 PRINTING xvii SUGGESTIONS TO THE READER xix SEQUEL TO THE PRESENT VOLUME xxi GROUPS AND GEOMETRIC ANALYSIS CONTENTS xxiii GEOMETRIC ANALYSIS ON SYMMETRIC SPACES … Minkowski Symmetric Lie Algebras and Symmetric Berwald Spaces, An Introduction to Lie Groups and the Geometry of Homogeneous Spaces, Rational homotopy groups of generalised symmetric spaces, Weakly symmetric spaces and spherical varieties, On compact symmetric spaces associated to the exceptional Lie group, Kahler structures on the tangent bundles of rank-one symmetric spaces, On the realization of Riemannian symmetric spaces in Lie groups, Rational Homotopy Groups of Generalised Symmetric Spaces, View 4 excerpts, cites methods and background, By clicking accept or continuing to use the site, you agree to the terms outlined in our. !���f=8N�k�R#M1�"f��ʐ��Z�����3�4D��`�[���m]U�7�X��a���۝��%�3�����ş�m� ��B��HR�}�����IN. x��T�j�0���[HI���%mZh��Mލ-o�v�K��O���%9,Zg�����љ�0!VΟP 0000001164 00000 n Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces Structure of semisimple Lie groups The classification of simple Lie algebras and of symmetric spaces Solutions to exercises Some details Bibliography List of notational conventions Symbols frequently used Index Reviews for the first edition. x�c```c``�����`� �� 6P�����xds�+*�<2���D���*����X�X�XTX� y*r endstream endobj 40 0 obj 74 endobj 29 0 obj << /Type /Page /Parent 28 0 R /MediaBox [ 0 0 466 688 ] /Resources 30 0 R /Contents 32 0 R >> endobj 30 0 obj << /ProcSet [ /PDF /Text /ImageB ] /Font << /F4 35 0 R /F6 36 0 R /F0 37 0 R /F1 38 0 R >> /XObject << /im1 34 0 R >> >> endobj 31 0 obj 557 endobj 32 0 obj << /Length 31 0 R /Filter /FlateDecode >> stream 0000000573 00000 n 0000013230 00000 n 26 0 obj << /Linearized 1 /L 134458 /H [ 724 180 ] /O 29 /E 14424 /N 5 /T 133894 >> endobj xref 26 15 0000000016 00000 n Memoirs of the American Mathematical Society, American Mathematical Society, 2008, 00 (00), pp.00. Some features of the site may not work correctly. 0000001021 00000 n 0000009979 00000 n For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Title:Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings. 0000000904 00000 n 0000001185 00000 n 0000001822 00000 n 0000011062 00000 n 0000000724 00000 n %PDF-1.2 %���� For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. 0000000628 00000 n Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces Structure of semisimple Lie groups The classification of simple Lie algebras and of symmetric spaces Solutions to exercises Some … Semantic Scholar is a free, AI-powered research tool for scientific literature, based at the Allen Institute for AI. You are currently offline. I felt that an expanded treatment might now be useful. )l�~Y����!�? Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. trailer << /Size 41 /Prev 133884 /Info 25 0 R /Root 27 0 R >> startxref 0 %%EOF 27 0 obj << /Type /Catalog /Pages 28 0 R >> endobj 28 0 obj << /Type /Pages /Kids [ 29 0 R 1 0 R 7 0 R 13 0 R 19 0 R ] /Count 5 >> endobj 39 0 obj << /Length 40 0 R /S 61 /Filter /FlateDecode >> stream