Shlomo Sternberg
Contents: The Campbell Baker Hausdorff Formula; sl(2) and its Representations.; The classical simple algebras.; Engel-Lie-Cartan-Weyl; Conjugacy of Cartan subalgebras.; The simple finite dimensional algebras; Cyclic highest weight modules.; Serre’s theorem.; Clifford algebras and spin representations.; The Kostant Dirac operator; The...
|
Claudio Procesi
Contents: Teoria della dimensione; Anelli regolari e singolari; Introduzione agli schemi; Morfismi ́e'tale, piatti e lisci; Introduzione alle topologie di Grothendieck;...
|
Claudio Procesi
Contents: 1 Groups and their actions 2 Orbits, invariants and equivariant maps. 3 Linear actions, groups of automorphisms, commuting groups. 4 Symmetric functions 5 Resultant, discriminant, Bezoutiante 6 Schur functions 7 Cauchy formulas 8 The conjugation action 9 The Aronhold...
|
Robert N. Cahn
Contents: * 1. Algebraic Groups, Arithmetic Groups * 2. Arithmetic Properties of Algebraic Groups. Adele Groups * 3. Automorphic Functions and Decomposition of ... * 4. Bounded Symmetric Domains, Holomorphic Automorphic Forms, Moduli * 5. Quotients of Symmetric Spaces. Deformations....
|
Joachim Krug
Several aspects of the theory of epitaxial crystal growth from atomic or molecular beams are developed from the perspective of statistical physics. Lectures are devoted to the rate equation theory of two-dimensional nucleation and its limitations; the growth of multilayer...
|
IGOR V. DOLGACHEV
Contents: The symbolic method; The First Fundamental Theorem; Reductive algebraic groups; Hilbert’s Fourteenth Problem; Algebra of covariants; Quotients; Linearization of actions; Stability; Numerical criterion of stability; Projective hypersurfaces; Configurations of linear subspaces; Toric varieties....
|
