Algebraic Groups and Discontinuous Subgroups
by Armand Borel, George D. Mostow
Publisher: American Mathematical Society 1966
Number of pages: 426
The book is concentrated around five major themes: linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces of coset spaces, holomorphic automorphic functions on bounded symmetric domains and moduli problems, vector valued cohomology and deformation of discrete subgroups.
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by Alexander Kleshchev - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.
by Robert Hermann - Math Sci Press
Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.
by H.F. Baker - Cambridge University Press
This classic book covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and theta functions in particular. Many of the ideas put forward are of continuing relevance today.
by Michael Artin - Tata Institute of Fundamental Research
These notes are based on a series of lectures given in 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.