Book Review: Representation theory and complex geometry
نویسندگان
چکیده
منابع مشابه
Representation Theory and Complex Geometry, By
Representation theory. Let us try to study a given object X through vector spaces V associated naturally to it. The symmetries S of X can form a group or more generally some kind of an algebra usually related to a group (Lie algebra, quantum group,...). The Vector space V inherits the symmetries of X, and they act on V by linear operators. This is what one means by “V is a representation of the...
متن کاملRepresentation Theory and Projective Geometry
This article consists of three parts that are largely independent of one another. The first part deals with the projective geometry of homogeneous varieties, in particular their secant and tangential varieties. It culminates with an elementary construction of the compact Hermitian symmetric spaces and the closed orbits in the projectivization of the adjoint representation of a simple Lie algebr...
متن کاملAlgebraic Geometry and Representation Theory
0. Let G be a reductive group over Z. For any field F we can consider the group Gp of F-points on G. At first glance, the groups Gp for different fields F appear to have little in common with each other. I. Gelfand has conjectured that (1) The structure of the representations of GF has fundamental features which do not depend on a choice of F. (2) Moreover, it is possible to define representati...
متن کاملQuasicrystals and geometry: a Book Review
Penrose tilings (Fig. 1) are beautiful. They also suggest significant new mathematics, so it is about time someone wrote a book about them which is readable (in fact, eminently readable) by mathematicians. The book, Quasicrystals and geometry, by Marjorie Senechal, has an even broader goal: to present certain developments in crystallography from the past decade. The developments were generated ...
متن کاملModel Theory and Complex Geometry
Model theory is a branch of mathematical logic whose techniques have proven to be useful in several disciplines, including algebra, algebraic geometry and number theory. The last fifteen years have also seen the application of model theory to bimeromorphic geometry, which is the study of compact complex manifolds up to bimeromorphic equivalence. In this article I will try to explain why logic s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2000
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-00-00864-8