THE SYSTEM OF $d$-GENERATORS OF $d$-SKEW FIELD OF $Sp(n)-$INVARIANT $d$-RATIONAL FUNCTIONS

Abstract

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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DOI

10.12732/ijam.v35i6.8

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