Necklace rings and logarithmic functions

Details Necklace rings and logarithmic functions Necklace rings and logarithmic functions

2004-04-07

arxiv.org/abs/math/0404161v4

Mathematics

Rings and Algebras

Scientific paper

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 $\ld$-rings into the category of special $\ld$-rings and then study the associated Adams operators. As far as the logarithmic function is concerned, we generalize the results in Bryant's paper (J. Algebra. 253 (2002); no.1, 167-188) to the case of graded Lie (super)algebras with a group action by applying the Euler-Poincar\'e principle.

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