Abstract
The construction of these maps has a lot in common with the construction of the Adams operations in the K-theory, and for the Grothendieck ring of Chow motives two additional sets of equations �i(XY ) = �i(X) � �i(Y ),�i ◦ �j = �ij, analogous to the ones for the Adams operations, hold. This fact follows from the specialty of the �-structure over the Grothendieck ring of motives proved by F. Heinloth ((3)). These operations are used for study of the so-called power structure over the Grothendieck ring, constructed by S. Gusein-Zade, I. Luengo and A. Melle-Hernandez ((8)). We prove the inversion formula, which provides a possibility to express explicitly the exponents Bi via the coefficientsAj in a formula
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