TY - BOOK AU - Brion, Michel, AU - Brion, Michel, TI - Lectures on the Structure of Algebraic Groups and Geometric Applications T2 - CMI lecture series in mathematics, 1 SN - 9789380250465 U1 - 512.55 BRI PY - 2013/// CY - New Dehli PB - : Hindustan Book Agency, KW - Mathematics KW - Algebra KW - Group theory KW - Geometry, Algebraic N1 - 1 Overview 2 Proof of Chevalley's Theorem 3 Applications and developments 4 Complete homogeneous varieties 5 Anti-affine groups 6 Homogeneous vector bundles 7 Homogeneous principal bundles Bibliography Index N2 - This book originates from a series of 10 lectures given by Professor Michel Brion at the Chennai Mathematical Institute during January 2011. It presents a theorem due to Chevalley on the structure of connected algebraic groups, over algebraically closed fields, as the starting point of various other structure results developed in the recent past ER -