C. Ringel

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math.RT2026

The brick chain complexity of an artin algebra

Claus Michael Ringel

We consider the category of finitely generated modules over an artin algebra $A$ . It is known that any module $M$ has a brick chain filtration. We say that M has brick chain comple…

math.RT2026

Brick chain filtrations

Claus Michael Ringel

We deal with the category of finitely generated modules over an artin algebra $A$ . Recall that an object in an abelian category is said to be a brick provided its endomorphism ring…

math.RT2025

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle $T (n)$

Claus Michael Ringel, Markus Schmidmeier

We consider the category $S (n)$ of all pairs $X = (U, V)$ , where $V$ is a finite-dimensional vector space with a nilpotent operator $T$ with $T^{n} = 0$ , and $U$ is a subspac…

The brick chain complexity of an artin algebra

Brick chain filtrations

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle T(n)

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle $T (n)$