On level 1 cyclotomic KLR algebras of type $A_{n}^{(1)}$
Masahide Konishi
TL;DR
This paper investigates specific properties of level 1 cyclotomic KLR algebras of type A_{n}^{(1)}, including primitive idempotents, structural changes, and dimension calculations, contributing to the understanding of their algebraic structure.
Contribution
It provides new insights into the structure and properties of level 1 cyclotomic KLR algebras of type A_{n}^{(1)}, focusing on primitive idempotents and dimensions.
Findings
Number of primitive idempotents determined
Systematic structural changes analyzed
Dimension formulas established
Abstract
We show some properties on a special case of level 1 cyclotomic KLR algebras of type ; the number of primitive idempotents, systematic change of structures, the dimension.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras