This volume includes the proceedings of a workshop on Invariant Theory held at Queen's University (Ontario). The workshop was part of the theme year held under the auspices of the Centre de recherches mathematiques (CRM) in Montreal. The gathering brought together two communities of researchers: those working in characteristic 0 and those working in positive characteristic. The book contains three types of papers: survey articles providing introductions to computational invariant theory, modular invariant theory of finite groups, and the invariant theory of Lie groups; expository works recounting recent research in these three areas and beyond; and open problems of current interest. The book is suitable for graduate students and researchers working in invariant theory.
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978-0-8218-3244-8 (9780821832448)
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Schweitzer Klassifikation
A local study of embeddings of complexity one by G. Bousquet and L. Moser-Jauslin Constructive invariant theory by H. Derksen On global degree bounds for invariants by H. Derksen and G. Kemper On invariant theory of finite groups by P. Fleischmann Combinatorics related to orbit closures of symmetric subgroups in flag varieties by A. G. Helminck Deformation of symmetric functions and the rational Steenrod algebra by F. Hivert and N. M. Thiery Cohomology with Grosshans graded coefficients by W. van der Kallen The module structure of a group action on a polynomial ring: examples, generalizations, and applications by D. B. Karagueuzian and P. Symonds An invariant theoretic description of the primitive elements of the mod$-p$ cohomology of a finite loop space which are annihilated by Steenrod operations by N. E. Kechagias On Noether's and Weyl's bound in positive characteristic by F. Knop Comparing the depths of rings of invariants by M. D. Neusel Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti by V. L. Popov Compressions of group actions by Z. Reichstein Commutativity of weakly commutative Riemannian homogeneous spaces by L. G. Rybnikov Group actions and quotients for compact Lie groups and algebraic groups by G. W. Schwarz Notes on invariant rings of divided powers by J. Segal Classical covariants and modular invariants by R. J. Shank Classification of nearly closed orbits for the action of semisimple complex linear groups on the projective spaces by A. V. Smirnov Convex cones and SAGBI bases of permutation invariants by N. M. Thiery and S. Thomasse Some problems in invariant theory by D. L. Wehlau The Peterson conjecture for algebras of invariants by R. M. W. Wood Weakly symmetric and weakly commutative spaces by O. Yakimova.
