Quiver Hecke algebras for Borcherds-Cartan datum
Bolun Tong, Wan Wu
TL;DR
This paper introduces a new family of quiver Hecke algebras that categorify quantum Borcherds algebras for arbitrary Borcherds-Cartan data, expanding the algebraic framework for these structures.
Contribution
It presents the first construction of quiver Hecke algebras tailored for general Borcherds-Cartan data, enabling categorification of associated quantum algebras.
Findings
Construction of quiver Hecke algebras for Borcherds-Cartan data
Categorification of quantum Borcherds algebras
Framework applicable to arbitrary Borcherds-Cartan data
Abstract
We introduce a family of quiver Hecke algebras which give a categorification of quantum Borcherds algebra associated to an arbitrary Borcherds-Cartan datum.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry