Abstract We construct Grassmannian categories of infinite rank, providing an analogue the cluster introduced by Jensen, King, and Su. Each category rank is given as graded maximal Cohen–Macaulay modules over a certain hypersurface singularity. show that generically free $1$ in are bijection with Plücker coordinates appropriate algebra rank. Moreover, this structure preserving, it relates rigidi...

This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan cell of finite rank to one of lower rank. A conformal Jordan cell of rank one corresponds to a primary field. This offers a picture in which any...

Consider the kernel Magg of the Magnus representation of the Torelli group and the kernel Burn of the Burau representation of the braid group. We prove that for g ≥ 2 and for n ≥ 6 the groups Magg and Burn have infinite rank first homology. As a consequence we conclude that neither group has any finite generating set. The method of proof in each case consists of producing a kind of “Johnson-typ...

Various extensions of the leximin order to the infinite dimensional setting have been suggested. They relax completeness and strong anonymity. Instead, by removing sensitivity to generations at infinite rank this paper defines a complete and strongly anonymous leximin relation on infinite streams. The order is axiomatized, and it is shown to be the limit of extended rank-discounted utilitariani...

We consider mixed integer linear programs where free integer variables are expressed in terms of nonnegative continuous variables. When this model only has two integer variables, Dey and Louveaux characterized the intersection cuts that have infinite split rank. We show that, for any number of integer variables, the split rank of an intersection cut generated from a rational lattice-free polyto...

The notion of a near isomorphism is extended from finite-rank torsion-free Abelian groups to some classes infinite-rank groups. equivalence different formulations this for certain class countable-rank proved.