Surjectivity of certain word maps on SU(2) and SL(2,C)
Group Theory
2026-05-28 v1
Abstract
In this article, we show the surjectivity of word maps w from SU(2)* SU(2) to SU(2) induced by several families of words in the free group of rank 2. Also, we prove the surjectivity of certain word maps on SL(2,C).
Keywords
Cite
@article{arxiv.2605.28039,
title = {Surjectivity of certain word maps on SU(2) and SL(2,C)},
author = {Shilpa Rani},
journal= {arXiv preprint arXiv:2605.28039},
year = {2026}
}