English

Dual alternative algebras in characteristic three

Rings and Algebras 2012-11-14 v3 Representation Theory

Abstract

We prove that the dimension of the arity nn component of the operad of dual alternative algebras over a field of characteristic three is equal to 2nn2^n-n, and describe the structure of the corresponding SnS_n-module.

Cite

@article{arxiv.1111.2289,
  title  = {Dual alternative algebras in characteristic three},
  author = {Vladimir Dotsenko},
  journal= {arXiv preprint arXiv:1111.2289},
  year   = {2012}
}

Comments

7 pages, to appear in Communications in Algebra

R2 v1 2026-06-21T19:33:33.921Z