On certain tilting modules for SL₂ II

2020/04/02 by Martin, Samuel
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2004.01153

Abstract

Following the previous work, we determine exactly the highest weights for which a tensor product of two induced modules is a tilting module, for the algebraic group SL₂ over an algebraically closed field of positive characteristic.

Related

• On Certain Tilting Modules for SL2
• Factoring tilting modules for algebraic groups
• Decomposition of tensor products of modular irreducibles for \SL₂
• Steinberg squares and tensor products of tilting modules with simple modules
• Character formulae and a realization of tilting modules for \mathfraksl₂[t]