Dimension of subalgebras of Fomin-Kirillov algebras

Authors

Taro Ikeda, DePauw University
Sirous Homayouni, DePauw University

Files

Document Type

Poster

Publication Date

10-1-2025

Abstract

One of the central open problems concerning the Fomin-Kirillov algebras was whether their dimension is finite or infinite. This question was recently resolved in one research by C. Barligea, where it was shown that FK(n) is infinite-dimensional for all n ≥ 6. In our work, we investigate the dimension of a certain subalgebra of FK(6).

Department

Mathematics Department, DePauw University, Greencastle, IN

Project Mentor

Sirous Homayouni

Recommended Citation

Ikeda, Taro and Homayouni, Sirous, "Dimension of subalgebras of Fomin-Kirillov algebras" (2025). Annual Student Research Poster Session. 229.
https://scholarship.depauw.edu/srfposters/229