Piecewise linear parametrization of canonical bases
G. Lusztig
TL;DR
This paper extends the piecewise linear parametrization of canonical bases from simply-laced types to nonsimply-laced types in the context of enveloping algebras, broadening the applicability of this mathematical framework.
Contribution
It introduces a novel extension of the parametrization method to nonsimply-laced types, filling a gap in the existing mathematical theory.
Findings
Extended parametrization to nonsimply-laced types
Broadened understanding of canonical bases
Enhanced tools for representation theory
Abstract
We extend the known piecewise linear parametrization of the canonical basis of the plus part of an enveloping algebra of type ADE to the nonsimplylaced case.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons