Quiver Hecke algebras for Borcherds-Cartan datum III: Categorification of quantum Borcherds superalgebras
Wan Wu
TL;DR
This paper introduces a new family of quiver Hecke superalgebras that categorify quantum Borcherds superalgebras, advancing the understanding of their algebraic structures.
Contribution
It presents the first categorification of quantum Borcherds superalgebras using quiver Hecke superalgebras, extending previous work to superalgebra contexts.
Findings
Construction of quiver Hecke superalgebras for Borcherds-Cartan data
Categorification of quantum Borcherds superalgebras
Establishment of algebraic relations and structures
Abstract
We introduce a family of the quiver Hecke superalgebras which give a categorification of quantum Borcherds superalgebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics