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Explores applications of Jordan theory to the theory of Lie algebras. After presenting the general theory of nonassociative algebras and of Lie algebr...Savoir plus
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional...Savoir plus
Operads are mathematical devices that describe algebraic structures of many varieties and in various categories. Operads are particularly important in...Savoir plus
The goal of this book is to present a portrait of the $n$-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some c...Savoir plus
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, m...Savoir plus
Presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic application...Savoir plus
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive al...Savoir plus
Presents a comprehensive treatment of spectral (linear) stability of weakly relativistic solitary waves in the nonlinear Dirac equation. The book pres...Savoir plus
Offers an introduction to modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems....Savoir plus
Introduces a new notion of analytic space over a non-Archimedean field. The book includes a homotopic characterization of the analytic spaces associat...Savoir plus
The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and...Savoir plus
Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functio...Savoir plus
Presents an introduction to the conformally invariant processes that appear as scaling limits. This book covers such topics as stochastic integration,...Savoir plus
Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal ...Savoir plus
Presents a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Ola...Savoir plus
Presents an introduction on spectral and inverse spectral theory of Jacobi operators (second order symmetric difference operators) and applications of...Savoir plus
Presents the analysis of a minimal counterexample $G$ to the theorem. This book examines the Bender-Suzuki theorem on strongly embedded subgroups (for...Savoir plus
Develops a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matric...Savoir plus
Suitable for researchers in ring theory or allied topics, such as the representation theory of finite dimensional Lie algebras, this book presents adv...Savoir plus
Presents key ideas and theorems underlying the study of finite simple groups and their important subgroups. This book contains sections on semisimple ...Savoir plus
Focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with...Savoir plus
Introduces a fresh point-set level approach to stable homotopy theory that has had many applications and promises to have a lasting impact on the subj...Savoir plus
A monograph that develops the spectral theory of an $n$th order non-self-adjoint two-point differential operator $L$ in the Hilbert space $L^2[0,1]$. ...Savoir plus
Deals with various aspects of the theory of bounded linear operators on Hilbert space. This book offers information on weighted shift operators with s...Savoir plus