Stabilisation of the LHS spectral sequence for algebraic groups

2014/02/19 by Parker, Alison E., Stewart, David I.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1402.4625

Abstract

In this note, we consider the Lyndon--Hochschild--Serre spectral sequence corresponding to the first Frobenius kernel of an algebraic group G, computing the extensions between simple G-modules. We state and discuss a conjecture that E₂=E_∞ and provide general conditions for low-dimensional terms on the E₂-page to be the same as the corresponding terms on the E_∞-page, i.e. its abutment.

Related

• The Calabi invariant and The Lyndon-Hochschild-Serre spectral sequence
• LHS-spectral sequences for regular extensions of categories
• Spectral sequences of operad algebras
• The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra
• A generalization of the stable EHP spectral sequence