arXiv Open Access 2025

Representations of Cyclic Diagram Monoids

Jason Liu

Lihat Sumber

Abstrak

We introduce cyclic diagram monoids, a generalisation of classical diagram monoids that adds elements of arbitrary period by including internal components, with a view towards cryptography. We classify their simple representations and compute their dimensions in terms of the underlying diagram algebra. These go towards showing that cyclic diagram monoids possess representation gaps of exponential growth, which quantify their resistance as platforms against linear attacks on cryptographic protocols that exploit small dimensional representations.

Topik & Kata Kunci

math.RT cs.CR math.GR

Penulis (1)

Jason Liu

Format Sitasi

APA MLA BibTeX

Liu, J. (2025). Representations of Cyclic Diagram Monoids. https://arxiv.org/abs/2511.15945

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓