Affine wreath product algebras with trace maps of generic parity

Autor(es)

Mendonca, Eduardo Monteiro

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 50, n. 12, p. 29-pg., 2022-05-30.

Resumo

The goal of this article is to study the structure and representation theory of affine wreath product algebras Wr(n)(C)(A) and its cyclotomic quotients Wr(n)(aff)(A). These algebras appear naturally in Heisenberg categorification and generalize many important algebras (degenerate affine Hecke algebras, affine Sergeev algebras and wreath Hecke algebras). The whole class was introduced by D. Rosso and A. Savage in Fla In (19), Savage studied both structure and representations under the condition that the trace map of A is even. In this paper we extend the definition for the case of odd trace. Since our approach is analogous to Savage's, we consider the trace map being of arbitrary parity and unify statements and proofs. We also use an approach based on string diagrams, in the spirit of (5). For simplicity of exposition, we assume A to be symmetric. (AU)

• Processo FAPESP: 18/07628-9 - Álgebras de produto entrelaçado
• Beneficiário: Eduardo Monteiro Mendonça
• Modalidade de apoio: Bolsas no Brasil - Mestrado