Necklace rings and logarithmic functions

• Autores: Young-Tak Oh
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 205, Nº 2, 2006, págs. 434-486
• Idioma: inglés
• DOI: 10.1016/j.aim.2005.07.014
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• Resumen

  • 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.