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Necklace rings and logarithmic functions | Young-Tak Oh
; | Date: |
7 Apr 2004 | Subject: | Rings and Algebras MSC-class: 11F03;11F22;17B70 | math.RA | 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 $Nr$ 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-Poincaré principle. | Source: | arXiv, math.RA/0404161 | Services: | Forum | Review | PDF | Favorites |
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