Canonical filtrations on Harish-Chandra modules

The goal of this paper is to show that a wide class of Harish-Chandra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis German g comma upper K right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="fraktur">g</mml:mi> </mml:mrow> <mml:mo>,</mml:mo> <mml:mi>K</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(\mathfrak {g},K)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-modules including all irreducible ones come with a certain canonical filtration.