Passionate poems and short prose in "English, French, German, Italian, Norwegian, Polish, Portuguese, Serbian and Spanish" with scientific imagery.
Translators: "Caroline Aeby, Pedro Alvarez, Chris Bernard, Iver Brevik, Paul Cariage, Roberto Casalbuoni, Christine Clairmont, Branko Dragovich, Steven Duplij, Marian Jaskula, Trudi Kiebala, Volker Knecht, Miguel Krshjschanows, Grzegorz Kwiatkowski, Peter Mahnke, V. Morillon, Edda and Wolfram Von Oertzen, Terezinka Pereira"

This collection presents original mathematical ideas and unusual constructions in theoretical physics. They were developed locally at Kharkov University, Ukraine, and now can be presented to Western readers. The subjects are broad and cover an array of ideas, from regular generalization of supermanifolds and category theory, coalgebras, the Yang-Baxter equation and Hopf algebras, to nontrivial aspects of nilpotent mechanics, fermionic gravity and multigravity, the constraintless Hamiltonian approach to singular theories, and the application of polyadic structures to representation theory and quantum groups. The book can attract researchers and post-graduate students who are interested in new developments and methods in modern theoretical physics and related directions in mathematics.

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.