Canonical bases in tensor products revisited
Huanchen Bao, Weiqiang Wang
TL;DR
This paper extends Lusztig's work by constructing canonical bases in tensor products of multiple lowest and highest weight integrable modules, providing a generalized framework for their study.
Contribution
It introduces a new method for constructing canonical bases in tensor products of integrable modules, broadening the scope of Lusztig's original work.
Findings
Successfully constructs canonical bases in complex tensor products.
Generalizes Lusztig's canonical basis construction.
Provides a framework applicable to multiple modules.
Abstract
We construct canonical bases in tensor products of several lowest and highest weight integrable modules, generalizing Lusztig's work.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Noncommutative and Quantum Gravity Theories · Advanced Topics in Algebra