Explicit equations for exterior square of the general linear group
Group Theory
2024-05-31 v2 Representation Theory
Abstract
We present several explicit systems of equations defining exterior square of the general linear group as an affine group scheme. Algebraic ingredients of the equations, exterior numbers, are translated into the language of weight diagrams corresponding to Lie groups of type in representation with the highest weight .
Keywords
Cite
@article{arxiv.1803.05721,
title = {Explicit equations for exterior square of the general linear group},
author = {Roman Lubkov and Ilia Nekrasov},
journal= {arXiv preprint arXiv:1803.05721},
year = {2024}
}
Comments
11 pages, 2 figures. arXiv admin note: text overlap with arXiv:1801.07918