Quivers with relations for symmetrizable Cartan matrices and algebraic Lie theory
Christof Gei{\ss}
TL;DR
This paper explores the extension of (dual) semicanonical bases to symmetrizable Cartan matrices within algebraic Lie theory, aiming to deepen understanding of their structure and applications.
Contribution
It introduces a framework for semicanonical bases in the context of symmetrizable Cartan matrices, expanding prior work limited to symmetric cases.
Findings
Developed a new approach to semicanonical bases for symmetrizable Cartan matrices
Connected the theory to algebraic Lie theory structures
Provided insights into the algebraic properties of these bases
Abstract
We give an overview of our effort to introduce (dual) semicanonical bases in the setting of symmetrizable Cartan matrices.
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