一对相容李括号的泛包络代数
环与代数
2023-09-01 v3
摘要
应用 Poincare-Birkhoff-Witt 性质和 Groebner-Shirshov 基技术，我们找到了在 V. Ginzburg 和 M. Kapranov 意义下的一对相容李括号的结合泛包络代数的线性基。我们指出该泛包络代数在 维相容李代数上的增长率等于 。
引用
@article{arxiv.2110.06518,
title = {Universal enveloping algebra of a pair of compatible Lie brackets},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:2110.06518},
year = {2023}
}
备注
9 p.; v2: the defining relations of the universal enveloping algebra in the sense of V. Ginzburg and M. Kapranov of a pair of compatible Lie brackets are corrected; v3: Remarks 2 and 3 are added