Semisupermanifolds and semigroups: Second Printing, 2013 - Tapa blanda

The book is devoted to various abstract aspects of the theory of supermanifolds and superconformal manifolds, and properties of supermatrix semigroups and operators. A direction in constructing supersymmetric and superstring models based on consequent and strong consideration and inclusion of semigroups, ideals and noninvertible features into their mathematical structure is proposed. A theory of semisupermanifolds and noninvertible generalization of superconformal and hyperbolic geometries are presented. New continuous supermatrix representations of semigroups are investigated.

This is the 2nd Printing of the previously sold out Ukrainian edition.

For researchers in semigroup application methods and supersymmetric particle theories.

Illustrations 3. Tables 3. Bibliography 805.

Steven Duplij (Stepan Anatolievich Douplii) is a theoretical physicist, a Lead Staff Researcher of the Theory Group, Nuclear Physics Laboratory at V.N. Karazin National University, Kharkov, Ukraine, and Doctor of Physical and Mathematical Sciences (Dr. Habil.). He has more than a hundred scientific publications, several monographs. The main areas of his research are supersymmetry and supermanifolds, quantum groups and their actions, singular theories and constrained systems, nonlinear and conformal (super)electrodynamics, multigravity and Pauli-Fierz models, ternary and polyadic structures, von Neumann regularity and semigroups, DNA theory and genetic code. Editor-compiler of "Concise Encylopedia of Supersymmetry" (Springer 2005), he has been awarded the Fulbright and Humboldt Foundation grants.

http://homepages.spa.umn.edu/~duplij
http://duplij.univer.kharkov.ua
http://www.stihi.ru/avtor/duplij