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Resumen de Necklace rings and logarithmic functions

Young-Tak Oh

  • In this paper, we develop the theory of the necklace ring and the logarithmic function. Regarding the necklace ring, we introduce the necklace ring functor Nr from the category of special ?-rings into the category of special ?-rings and then study the associated Adams operators. As far as the logarithmic function is concerned, we generalize the results in Bryant's paper [Free Lie algebras and formal power series, J. Algebra 253(1) (2002) 167¿188] to the case of graded Lie (super)algebras with a group action by applying the Euler¿Poincaré principle.


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