Nearly Frobenius Algebras

2019/07/11 by González, Ana, Lupercio, Ernesto, Segovia, Carlos +1 · 1 citation
#16G20 #53D45 #55N99 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1907.05470

Abstract

In this introductory paper we study nearly Frobenius algebras which are generalizations of the concept of a Frobenius algebra which appear naturally in topology: nearly Frobenius algebras have no traces (co-units). We survey the most basic foundational results and some of the applications they encounter in geometry, topology and representation theory.

Cited by

• On Nearly Frobenius Structures

Related

• The necessity of (co)unit in nearly Frobenius algebra
• Constructing nearly Frobenius algebras
• Nearly Frobenius structures in some families of algebras
• Handle element on nearly Frobenius algebras
• Nearly Frobenius dimension on Frobenius algebras