DIALGEBRAS Jean-Louis LODAY There is a notion of
... algebra since the Leibniz identity becomes equivalent to the Jacobi identity. Any associative algebra gives rise to a Lie algebra by [x, y] = xy − yx. The purpose of this article is to introduce and study a new notion of algebra which gives, by a similar procedure, a Leibniz algebra. The idea is to ...
... algebra since the Leibniz identity becomes equivalent to the Jacobi identity. Any associative algebra gives rise to a Lie algebra by [x, y] = xy − yx. The purpose of this article is to introduce and study a new notion of algebra which gives, by a similar procedure, a Leibniz algebra. The idea is to ...
reductionrevised3.pdf
... X (K) which corresponds to the poset of simplices of K and proves that there is a weak homotopy equivalence K → X (K). Conversely, one can associate to a given finite T0 -space X the simplicial complex K(X) of its non-empty chains and a weak homotopy equivalence K(X) → X. In contrast to McCord’s app ...
... X (K) which corresponds to the poset of simplices of K and proves that there is a weak homotopy equivalence K → X (K). Conversely, one can associate to a given finite T0 -space X the simplicial complex K(X) of its non-empty chains and a weak homotopy equivalence K(X) → X. In contrast to McCord’s app ...