Irreducible Components of the Nilpotent Cone of the Tadpole Quiver
Dmitry Korb
TL;DR
This paper identifies the irreducible components of the nilpotent cone in the tadpole quiver and proposes a new approach to describe all such components, regardless of their codimension.
Contribution
It provides a detailed description of the irreducible components of the nilpotent cone for the tadpole quiver and introduces a novel method for their characterization.
Findings
Irreducible components of the nilpotent cone are explicitly exhibited.
An approach is introduced to potentially describe all components.
Components of arbitrarily high codimension are characterized.
Abstract
We exhibit the irreducible components of the nilpotent cone of the tadpole quiver of arbitrarily high codimension and introduce an approach that could allow to describe all of them.
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Taxonomy
TopicsCoding theory and cryptography · Polynomial and algebraic computation · Algebraic structures and combinatorial models