Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal
| Autor: | Niroomand, P., Johari, F., Parvizi, M., Russo, F. G. |
|---|---|
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Bull. Malays. Math. Sci. Soc. 42 (2019), no. 4, 1295--1304 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s40840-017-0540-6 |
| Popis: | We prove a theorem of splitting for the nonabelian tensor product $L \otimes N$ of a pair $(L,N)$ of Lie algebras $L$ and $N$ in terms of its diagonal ideal $L \square N$ and of the nonabelian exterior product $L \wedge N$. A similar circumstance was described two years ago by the second author in the special case $N=L$. The interest is due to the fact that the size of $L \square N$ influences strongly the structure of $L \otimes N$. Another question, often related to the structure of $L \otimes N$, deals with the behaviour of the operator $\square$ with respect to the formation of free products. We answer with another theorem of splitting even in this case, noting some connections with the homotopy theory. Comment: The published version contains some improvements |
| Databáze: | arXiv |
| Externí odkaz: |
|