A geometric realization of modified quantum algebras
Yiqiang Li
TL;DR
This paper presents a geometric construction of Lusztig's modified quantum algebra of symmetric type using localized equivariant derived categories of double framed quiver representation varieties.
Contribution
It introduces a novel geometric realization of modified quantum algebras through advanced categorical and geometric methods.
Findings
Provides a new geometric framework for quantum algebras
Establishes connections between quiver varieties and quantum algebra structures
Enhances understanding of algebraic and geometric interplay in quantum groups
Abstract
A geometric construction of Lusztig's modified quantum algebra of symmetric type is presented by using certain localized equivariant derived categories of double framed representation varieties of quivers.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics