GLn (R) actions on Posn(R) -- Measures, Integration, and Quadratic Model -- Special Functions on Posn(R) -- Invariant Differential Operators on Posn(R) -- Poisson duality and zeta functions -- Eisenstein Series: First Part -- Geometric and Analytic Estimates -- Eisenstein Series: Second Part.Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis…
The Integers -- Groups -- Rings -- Polynomials -- Vector Spaces and Modules -- Some Linear Groups -- Field Theory -- Finite Fields -- The Real and Complex Numbers -- Sets.Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theor…