Symmetric group characters of almost square shape
Sho Matsumoto, Piotr \'Sniady

TL;DR
This paper derives explicit formulas for symmetric group characters associated with nearly square Young diagrams, specifically those shaped as p by p+δ, providing new insights into their algebraic structure.
Contribution
It introduces closed product formulas for irreducible characters of symmetric groups related to almost square Young diagrams, expanding understanding of their combinatorial properties.
Findings
Closed product formulas for characters of almost square shapes
Explicit expressions for p x (p+δ) Young diagrams
Enhanced understanding of symmetric group representations
Abstract
We give closed product formulas for the irreducible characters of the symmetric groups related to rectangular `almost square' Young diagrams for a fixed value of an integer and an arbitrary integer .
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
TopicsRandom Matrices and Applications · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics
