Graded Lie algebras with finite polydepth
| dc.creator | Felix, Y. | |
| dc.creator | Halperin, S. | |
| dc.creator | Thomas, J. -C. | |
| dc.date | 2003-02-12 | |
| dc.date.accessioned | 2026-07-07T04:55:14Z | |
| dc.date.available | 2026-07-07T04:55:14Z | |
| dc.description | If A is a graded connected algebra then we define a new invariant, polydepth A, which is finite if $Ext_A^*(M,A) \neq 0$ for some A-module M of at most polynomial growth. Theorem 1: If f : X \to Y is a continuous map of finite category, and if the orbits of H_*(ΩY) acting in the homology of the homotopy fibre grow at most polynomially, then H_*(ΩY) has finite polydepth. Theorem 2: If L is a graded Lie algebra and polydepth UL is finite then either L is solvable and UL grows at most polynomially or else for some integer d and all r, $\sum_{i=k+1}^{k+d} {dim} L_i \geq k^r$, $k\geq$ some $k(r)$. | |
| dc.identifier | https://arxiv.org/abs/math/0302140 | |
| dc.identifier | http://arxiv.org/abs/math/0302140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66509 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35; 55P62 | |
| dc.title | Graded Lie algebras with finite polydepth | |
| dc.type | text |