On the principal blocks of $S_{15}$ over a field of characteristic 5
Jinbao Yao
TL;DR
This paper constructs the Ext-quiver of a principal block of the symmetric group S_{15} over a field of characteristic 5, providing insights into its modular representation theory.
Contribution
It introduces the explicit construction of the Ext-quiver for the principal block of S_{15} in characteristic 5, a novel contribution to modular representation theory.
Findings
Explicit Ext-quiver for the principal block of S_{15}
Enhanced understanding of modular representations of S_{15}
Foundation for further structural analysis of blocks
Abstract
In this paper, we construct the Ext-quiver of a principal block of , where is an algebraically closed field of characteristic 5.
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 Algebra and Geometry · Finite Group Theory Research · Coding theory and cryptography