Conference Proceedings, Canadian Mathematical Society 1989; 228 pp; softcover Volume: 10 ISBN10: 0821860151 ISBN13: 9780821860151 List Price: US$59 Member Price: US$47.20 Order Code: CMSAMS/10
 This volume contains the proceedings of a conference, sponsored by the Canadian Mathematical Society, on Group Actions and Invariant Theory, held in August, 1988 in Montreal. The conference was the third in a series bringing together researchers from North America and Europe (particularly Poland). The papers collected here will provide an overview of the state of the art of research in this area. The conference was primarily concerned with the geometric side of invariant theory, including explorations of the linearization problem for reductive group actions on affine spaces (with a counterexample given recently by J. Schwarz), spherical and complete symmetric varieties, reductive quotients, automorphisms of affine varieties, and homogeneous vector bundles. Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price. Table of Contents  S. S. Abhyankar and S. B. Joshi  Generalized codeletion and standard multitableaux
 A. BialynickiBirula and J. Swiecicka  On exotic orbit spaces of tori acting on projective varieties
 M. Brion  On spherical varieties of rank one
 P. Blass, K. J. Horodam, P. B. Kleidman, and A. J. E. Ryba  A new doublyinfinite class of factorial rings
 A. Fauntleroy  .I.T. for general algebraic groups
 F. D. Grosshans  Finitely generated rings of invariants having rational singularities
 J. Horvath  Bruhat decomposition in unipotent actions
 J. Jurkiewicz  On some reductive group actions on affine space
 J. Konarski  Some examples of cohomological projective spaces, via \(\mathbb{C}^+\)actions
 G. R. Kempf  Equations of isotropy
 M. Koras and P. Russell  n linearizing "Good" \(\mathbb{C}^\ast\)actions on \(\mathbb{C}^3\)
 M. Koras and P. Russell  Codimension \(2\) torus actions on affine \(n\)space
 H. Kraft  \(G\)vector bundles and the linearization problem
 H. Kraft and G. W. Schwarz  Reductive group actions on affine space with onedimensional quotient
 A. Magid  Equivariant completions and tensor products
 T. Nakano  Regular actions of semisimple algebraic groups on projective threefolds, especially \(SL(2)\)
 V. L. Popov  Some applications of algebra of functions on \(G/U\)
 M. S. Putcha  Linear algebraic monoids and \(G/H\) embeddings
 L. E. Renner  Reductive embeddings
 D. M. Snow  Homogeneous vector bundles
 L. Tan  Some recent developments in the PopovPommerening conjecture
 D. L. Wehlau  Some recent results on the Popov conjecture
