Hall induction for cotangent representations and wheel conditions
Representation Theory
2026-01-08 v2 Algebraic Geometry
Abstract
In this short note we study the Hall induction of cotangent representations of reductive groups. We prove its torsion freeness in Borel-Moore homology. In K-theory we find an analog of wheel conditions verified by the image of restriction map to the fixed point and consider examples.
Keywords
Cite
@article{arxiv.2601.00124,
title = {Hall induction for cotangent representations and wheel conditions},
author = {Danil Gubarevich},
journal= {arXiv preprint arXiv:2601.00124},
year = {2026}
}
Comments
An inaccuracy in the proof of Theorem 5.4 has been corrected, the proof of Lemma 5.5 has been expanded, and Corollary 5.7 has been added