3 papers
math.RA2025
Lie Theory Theorems over Positive Characteristic and Modular Lie algebras
Eun H. Park
Sometimes, it is very important to consider what type of setting is assumed when studying a mathematical object. For example, in Galois theory, properties can completely change if…
math.RA2025
Decompositions of Group Algebras as a Direct Sum of Projective Indecomposable Modules and of Blocks in Positive Characteristic
Eun H. Park
The dissertation focuses on decomposing a group algebra over a field of positive characteristic into a direct sum of projective indecomposable modules. Such a decomposition is…
math.RA2025
Irreducible L-modules of Modular Lie algebras
Eun H. Park
The main objective of this project is to determine all irreducible modules of a given modular Lie algebra. In contrast to ordinary Lie algebras, modular Lie algebras require an add…