A lecture note on covering theory in representation theory of algebras
Yuming Liu, Nengqun Li, Bohan Xing, Pengyun Chen
TL;DR
This paper provides an accessible introduction to covering theory in the representation theory of algebras, consolidating scattered results and proofs for better understanding.
Contribution
It offers an elementary, unified presentation of covering theory, making complex concepts more accessible to researchers and students.
Findings
Simplified explanations of covering theory concepts
Compilation of scattered results and proofs
Enhanced understanding of covering theory applications
Abstract
Covering theory is an important tool in representation theory of algebras, however, the results and the proofs are scattered in the literature. We give an introduction to covering theory at a level as elementary as possible.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Operator Algebra Research