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


Exponentiation of cubic massives of numbers and holonomies over surfaces

E. T. Akhmedov

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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.

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