Representation of Plesken Lie algebras
P. G. Romeo, S. N. Arjun
TL;DR
This paper introduces the concept of representations and modules for Plesken Lie algebras of finite groups, exploring their structural properties and irreducibility features.
Contribution
It extends the theory of Plesken Lie algebras by defining their representations and modules, and analyzing their irreducibility.
Findings
Defined Plesken Lie algebra representations and modules
Analyzed the irreducibility properties of these modules
Extended the structural understanding of Plesken Lie algebras
Abstract
Cohen and Taylor introduced Plesken Lie algebras of finite groups and studied their structural properties. As a further step, we will introduce Plesken Lie algebra representations, Plesken Lie algebra modules and discuss the irreducibility property.
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
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry