Quantum groups via Hall algebras of complexes
By T. Bridgeland. 2011
128 citations recorded by the source corpus.
We describe quantum enveloping algebras of symmetric Kac-Moody Lie algebras via a finite field Hall algebra construction involving Z_2-graded complexes of quiver representations.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/918bd55b385ad7ed29bcbdbcc42fd4e0bcda35e9
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In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Semi-derived and derived Hall algebras for stable categories (2014, methodology): “he identity in Theorem 4.2 are well-defined. On the other hand, the construction presented in this work provides an associative algebra. The case of m = 2 was first considered in the work of Bridgeland [Br] that provided the main inspiration to our work, see also [Gor]. Yanagida [Y] proved the conject”