On bases of quantized enveloping algebras
Bangming Deng, Jie Du
TL;DR
This paper provides a systematic description of various monomial bases for quantized enveloping algebras and their integral forms, clarifying their relationships with PBW and canonical bases.
Contribution
It introduces a comprehensive framework for understanding monomial bases and their connections within quantized enveloping algebras.
Findings
Describes many monomial bases for quantized enveloping algebras
Analyzes relations between monomial, PBW, and canonical bases
Provides integral monomial bases for Lusztig's integral form
Abstract
We give a systematic description of many monomial bases for a given quantized enveloping algebra and of many integral monomial bases for the associated Lusztig -form. The relations between monomial bases, PBW bases and canonical bases are also discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Algebra and Geometry