On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras
Petter Andreas Bergh, Will Turner
TL;DR
This paper establishes bounds on the representation dimension of skew group algebras, wreath products, and blocks of Hecke algebras, linking algebraic structures to their representation complexity.
Contribution
It provides new bounds for the representation dimension of skew group algebras, wreath products, and blocks of Hecke algebras based on their structural parameters.
Findings
Bounds for the representation dimension of skew group algebras
Bounds for the representation dimension of wreath products
Bounds for blocks of Hecke algebras in terms of block weight
Abstract
We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block. This includes certain blocks of group algebras of symmetric groups.
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.