A classification of four-tuples of spinors of a ten dimensional space
Representation Theory
2025-12-23 v1
Abstract
We use the theory of theta-groups developed by Vinberg, along with computations in the computer algebra system GAP4, to classify the orbits of Spin(10,C)x SL(4,C) acting on the tensor product of the half spin module of Spin(10,C) and the natural module of SL(4,C).
Keywords
Cite
@article{arxiv.2512.19257,
title = {A classification of four-tuples of spinors of a ten dimensional space},
author = {Willem de Graaf and Alexander Elashvili and Mamuka Jibladze},
journal= {arXiv preprint arXiv:2512.19257},
year = {2025}
}