A parameterization of the canonical bases of affine modified quantized enveloping algebras

DOI10.1007/S11401-016-0937-9zbMath1385.16013arXiv1210.6129OpenAlexW2237367895MaRDI QIDQ266192

Jie Xiao, Ming Hui Zhao

Publication date: 13 April 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6129

zbMATH Keywords

Ringel-Hall algebrascanonical basesmodified quantized enveloping algebrasroot categories

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of quivers and partially ordered sets (16G20) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

• Unnamed Item
• Unnamed Item
• On the derived category of a finite-dimensional algebra
• Representations of tame quivers and affine canonical bases
• Derived Hall algebras
• Hall algebras associated to triangulated categories
• Double Hall algebras and derived equivalences.
• Hall algebras and quantum groups
• Heisenberg doubles and derived categories
• Crystal bases of modified quantized enveloping algebra
• Root categories and simple Lie algebras
• Triangulated categories and Kac-Moody algebras
• Hall algebras, hereditary algebras and quantum groups
• Quantum groups via Hall algebras of complexes.
• THE MONOID OF FAMILIES OF QUIVER REPRESENTATIONS
• Canonical Bases Arising from Quantized Enveloping Algebras
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Canonical bases in tensor products.
• PBW-basis for the composition algebra of the Kronecker algebra
• Generic Extensions and Canonical Bases for Cyclic Quivers
• Introduction to quantum groups

This page was built for publication: A parameterization of the canonical bases of affine modified quantized enveloping algebras