×

Overview on Leibniz algebras, dialgebras and their homology. (English) Zbl 0893.17001

Cuntz, Joachim J. R. (ed.) et al., Cyclic cohomology and noncommutative geometry. Proceedings of a workshop, Fields Institute, Waterloo, Ont., Canada, June 14–18, 1995. Providence, RI: American Mathematical Society. Fields Inst. Commun. 17, 91-102 (1997).
The author reviews properties of homology theories associated with Leibniz algebras and dialgebras [J.-L. Loday, Enseign. Math. (2) 39, No. 3-4, 269-293 (1993; Zbl 0806.55009)]. These properties give rise to new homological invariants of Lie algebras and are strongly related to the set of planar binary trees.
For the entire collection see [Zbl 0879.00048].

MSC:

17A32 Leibniz algebras
16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
05C05 Trees
16W99 Associative rings and algebras with additional structure
17B55 Homological methods in Lie (super)algebras
18G60 Other (co)homology theories (MSC2010)
55U99 Applied homological algebra and category theory in algebraic topology

Citations:

Zbl 0806.55009
PDFBibTeX XMLCite