Necklace rings and logarithmic functions
Rings and Algebras
2007-05-23 v4
Abstract
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 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 (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.
Keywords
Cite
@article{arxiv.math/0404161,
title = {Necklace rings and logarithmic functions},
author = {Young-Tak Oh},
journal= {arXiv preprint arXiv:math/0404161},
year = {2007}
}