Symmetry and Spaces: In Honor of Gerry Schwarz

ISBN-13: 9780817648749 / Angielski / Twarda / 2009 / 207 str.

H. E. A. Campbell; Loek Helminck; Hans-Peter Kraft

Opis

This volume includes articles that are a sampling of modern day algebraic geometry with associated group actions from its leading experts. There are three papers examining various aspects of modular invariant theory (Broer, Elmer and Fleischmann, Shank and Wehlau), and seven papers concentrating on characteristic 0 (Brion, Daigle and Freudenberg, Greb and Heinzner, Helminck, Kostant, Kraft and Wallach, Traves).

Spis treści

Preface.- List of Contributors.- Michel Brion: 'Some basis results on actions of non-affine algebraic groups'.- Abraham Broer: 'On Chevalley-Shephard-Todd's theorem in positive characteristic'.-Jonathan Elmer and Peter Fleischmann: 'On the depth of modular invariant rings for the groups $C_p×C_p$'.- Daniel Daigle and Gene Freudenberg: 'Families of affine fibrations'.- Daniel Greb and Peter Heinzner: 'Kählerian reduction in steps'.- Aloysius Helminck: 'On orbit decompositions for symmetric k-varieties'.- Bertram Kostant: 'Root systems for Levi factors and Borel-de Siebenthal theory'.- Hanspeter Kraft and Nolan R Wallach: 'Polarizations and nullcone of representations of reductive groups'.- R. James Shank and David Wehlau: 'Decomposing symmetric powers of certain modular representations of cyclic groups'.- Will Traves: 'Differential operators on Grassmann varieties'.

Blurb

A group of Gerry Schwarz’s colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.  This volume is an outgrowth of that event, covering the wide range of mathematics to which Gerry Schwarz has either made fundamental contributions or stimulated others to pursue. The articles are a sampling of modern day algebraic geometry with associated group actions from its leading experts, with a particular focus on characteristic 0 and modular invariant theory.

Contributors:

M. Brion

A. Broer

D. Daigle

J. Elmer

P. Fleischmann

G. Freudenberg

D. Greb

P. Heinzner

A. Helminck

B. Kostant

H. Kraft

R. J. Shank

W. Traves

N. R. Wallach

D. Wehlau