Aleks Kleyn

Research Diary Aleks Kleyn

In this book, I considered problems which I faced during 2018: general covariance principle, role of coordinate and coordinate-free representationsof geometric object, description of experiment to test unholonomity of coordinates in gravitational field; Cauchy-Riemann-Fueter equation, attempt to write down the equation in coordinate-free form and analysis of how differential forms look in module over non commutative D-algebra; linear algebra, study of basis of module of linear maps, system of linear equations in quaternion algebra;division of polynomials in non commutative algebra, description of the set of quotients;example of noncommutative sum in affine space.