Isomorphisms of graded semiconnected algebras

Abstract: Let A and B be standard graded, locally finite and semiconnected algebras. In this talk, I will show that if A and B are isomorphic as ungraded algebras, then they are isomorphic as graded algebras. I will give some motivation for this statement and present the proof, which uses only elementary notions about algebras and (bi)modules. Time permitting, I want to present some closely related open problems and how they appear in my ongoing effort to construct quivers for infinite-dimensional gradable algebras.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

Comments: Talk rescheduled for Friday 28th August.

OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.