Steven Duplij – författare

A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.

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.