THE SYSTEM OF $d$-GENERATORS OF $d$-SKEW FIELD OF $Sp(n)-$INVARIANT $d$-RATIONAL FUNCTIONS
K. MuminovNational University of Uzbekistan named after Mirzo Ulugbek Tashkent -100174, UZBEKISTANS. JuraboyevFergana State University Fergana -150100, UZBEKISTAN
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Let H n be an n dimensional (the left) vector space over the skewfield of quaternion numbers, and Sp(n) be a group of symplectic transformations of H n .Also, the skew-field of all Sp(n)-invariant non-commutative differential rational functions denoted by ℜ[[x, x]] Sp(n) .In the paper an explicit description of a finite generating system in the differential skew-field ℜ[[x, x]] Sp(n) .
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