Dual alternative algebras in characteristic three

Abstract

We prove that the dimension of the arity $n$ component of the operad of dual alternative algebras over a field of characteristic three is equal to $2^n-n$, and describe the structure of the corresponding $S_n$-module.

7 pages, to appear in Communications in Algebra

References in corpus (2)

• Gröbner bases for operads
• The alternative operad is not Koszul