English

Computation of Vector-Valued Invariants for a Finite Complex Reflection Group

Rings and Algebras 2025-08-22 v2

Abstract

We consider the complex reflection group G \mathcal{G} , identified as No. 8 in the Shephard-Todd classification. In this paper, we present computations of the vector-valued invariants associated with various representations of G \mathcal{G} . Additionally, we investigate the structure of the corresponding invariant rings.

Keywords

Cite

@article{arxiv.2505.07217,
  title  = {Computation of Vector-Valued Invariants for a Finite Complex Reflection Group},
  author = {A. K. M. Selim Reza and Manabu Oura and Masashi Kosuda and Shoyu Nagaoka},
  journal= {arXiv preprint arXiv:2505.07217},
  year   = {2025}
}
R2 v1 2026-06-28T23:29:02.418Z