Corrigendum to "The $q$-analogue of bosons and Hall algebras" and some remarks
Youjun Tan
TL;DR
This paper corrects a previous result regarding the semisimplicity of the category of integrable modules for a q-boson algebra by providing a counterexample.
Contribution
It offers a corrigendum to earlier work, clarifying the conditions for semisimplicity in q-boson algebra modules.
Findings
Counterexample disproves previous semisimplicity claim
Clarification of conditions for module semisimplicity
Refinement of theoretical understanding of q-boson algebras
Abstract
A corrigendum of a former result on semisimplicity of the category of integrable modules of a q-boson algebra is given with a counter example.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra