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Nilpotency in the homotopy of simplicial commutative algebras | | James M Turner
; | | Date: |
9 Dec 2001 | | Subject: | Commutative Algebra; Algebraic Topology; Quantum Algebra; Rings and Algebras MSC-class: 13D03, 13D05, 13H10, 18G30, 55S99 | math.AC math.AT math.QA math.RA | | Abstract: | In this paper, we study simplicial commutative algebras with finite André-Quillen homology. Here we restrict our focus to simplicial algebras having characteristic 2. Our aim is to find a generalization of results established by the author. Our goal is to replace the finiteness condition on homotopy with a weaker condition expressed in terms of nilpotency for the action of the homotopy operations. Coupled with the finiteness assumption on André-Quillen homology, this nilpotency condition provides a way to bound the height at which the homology vanishes. As a consequence, we establish a special case of an open conjecture of Quillen. | | Source: | arXiv, math.AC/0201064 | | Services: | Forum | Review | PDF | Favorites | |
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