Name
Abstract | ||
|---|---|---|
We compare, for L a Lie ring over the integers, its lower central series (gamma(n)(L))(n >= 1) and its dimension series defined by delta(n)(L) := L boolean AND pi(n)(L) in the universal enveloping algebra of L. We show that gamma(n)(L) = delta(n)(L) for all n <= 3, but give an example showing that they may differ if n = 4. We introduce simplicial methods to describe these results, and to serve as a possible tool for further study of the dimension series. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1142/S0218196715500423 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Lie rings, dimension problem, central series, enveloping algebras, simplicial objects | Integer,Discrete mathematics,Algebra,Central series,Universal enveloping algebra,Lie ring,Mathematics | Journal |
Volume | Issue | ISSN |
25 | 8 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Bartholdi | 1 | 27 | 8.74 |
| Inder Bir S. Passi | 2 | 0 | 0.34 |