Hall induction for cotangent representations and wheel conditions
Danil Gubarevich
TL;DR
This paper investigates the Hall induction of cotangent representations in reductive groups, proving torsion freeness in Borel-Moore homology and exploring wheel conditions in K-theory with examples.
Contribution
It introduces the torsion freeness of Hall induction in Borel-Moore homology and identifies wheel conditions in K-theory for cotangent representations.
Findings
Proved torsion freeness in Borel-Moore homology.
Identified wheel conditions in K-theory.
Provided examples illustrating the theoretical results.
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology