4 papers · 1 filter
On the Symmetric Homology of Algebras
Shaun Ault
Symmetric homology is an analog of cyclic homology in which the cyclic groups are replaced by symmetric groups. The foundations for the theory of symmetric homology of algebras are…
Symmetric Homology of Algebras
Shaun Ault, Zbigniew Fiedorowicz
In this note, we outline the general development of a theory of symmetric homology of algebras, an analog of cyclic homology where the cyclic groups are replaced by symmetric group…
Iterated Monoidal Categories
C. Balteanu, Z. Fiedorowicz, R. Schwaenzl +1
We develop a notion of iterated monoidal category and show that this notion corresponds in a precise way to the notion of iterated loop space. Specifically the group completion of…
Constructions of E_n Operads
Z. Fiedorowicz
This paper discusses the question of how to recognize whether an operad is E_n (ie. equivalent to the little n-cubes operad). A construction is given which produces many new exampl…