This volume contains 13 papers from the conference on 'Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory'. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the $S^1$ fixed points in Quot-schemes and mirror principle computations for Grassmannians by S.T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics.
The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.
An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.
Singularities, Representation of Algebras, and Vector Bundles
The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.
Example The group GL(n,F) acts on the vectors Fn by matrix multiplication leaving 0 fixed, and hence, ... E × G → E on E such that p(xs) = p(x) for all x ∈ E and s ∈ G. A morphism (u, f) : E → E of G-bundles p: E → B and p : E → B ...
This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research.
The central theme of this book is an exposition of the geometric technique of calculating syzygies.
... Locally finite root systems, 2004 W. N. Everitt and L. Markus, Infinite dimensional complex symplectic spaces, ... The maximal subgroups of positive dimension in exceptional algebraic groups, 2004 Fabio Ancona and Andrea Marson, ...
Transformation Groups and Representation Theory
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with...