Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497475 | Journal of Pure and Applied Algebra | 2005 | 25 Pages |
Abstract
Since its introduction by Loday in 1995, with motivation from algebraic K-theory, dendriform dialgebras have been studied quite extensively with connections to several areas in Mathematics and Physics. A few more similar structures have been found recently, such as the tri-, quadri-, ennea- and octo-algebras, with increasing complexity in their constructions and properties. We consider these constructions as operads and their products and duals, in terms of generators and relations, with the goal to clarify and simplify the process of obtaining new algebra structures from known structures and from linear operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kurusch Ebrahimi-Fard, Li Guo,