Seminars: E. T. Akhmedov, Exponentiation of cubic massives of numbers and holonomies over surfaces

SEMINARS


Seminar by Algebra Department May 30, 2006, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)

Exponentiation of cubic massives of numbers and holonomies over surfaces E. T. Akhmedov
Abstract: We define how to multiply and exponentiate cubic massives of numbers (matrices with three indeces). Exponents are classified according to the two-dimensional discrete topologies and semi-simple associative algebras. We use such surface exponents to define holonomies over surfaces in various spaces.