Maximaland Primitive Elements in Baby Verma Modules for Type $B_2$
Nanhua Xi
TL;DR
This paper investigates the structure of baby Verma modules for quantum groups of type B2, identifying maximal and primitive elements, and determining their composition factors, with implications for Weyl modules.
Contribution
It introduces a method to find maximal and primitive elements in baby Verma modules for type B2 quantum groups, and determines their composition factors.
Findings
Identified maximal elements in baby Verma modules for type B2
Determined primitive elements and composition factors
Proposed approach applicable to Weyl modules
Abstract
The purpose of this paper is to find maximal and primitive elements of baby Verma modules for a quantum group of type . As a consequence the composition factors of the baby Verma modules are determined. Similar approach can be used to find find maximal and primitive elements of Weyl modules for type .
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 · Advanced Algebra and Geometry · Advanced Topics in Algebra