Knit products of graded Lie algebras and groups
Abstract
If a graded Lie algebra is the direct sum of two graded sub Lie algebras, its bracket can be written in a form that mimics a "double sided semidirect product". It is called the {\it knit product} of the two subalgebras then. The integrated version of this is called a {\it knit product} of groups --- it coincides with the {\it Zappa-Szép product}. The behavior of homomorphisms with respect to knit products is investigated.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 1992
- DOI:
- 10.48550/arXiv.math/9204220
- arXiv:
- arXiv:math/9204220
- Bibcode:
- 1992math......4220M
- Keywords:
-
- Mathematics - Group Theory;
- Mathematics - Rings and Algebras;
- 17B70 17B05 20E07
- E-Print:
- Suppl. Rendiconti Circolo Matematico di Palermo, Ser. II 22 (1989), 171-175