On an analogue of the James conjecture
On an analogue of the James conjecture
We give a counterexample to the most optimistic analogue (due to Kleshchev and Ram) of the James conjecture for Khovanov-Lauda-Rouquier algebras associated to simply-laced Dynkin diagrams. The first counterexample occurs in type <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper A 5"> <mml:semantics> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>5</mml:mn> </mml:msub> <mml:annotation encoding="application/x-tex">A_5</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for …