Tilting aplanat RF telescope

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Bootstrap Tilting Conndence Intervals Bootstrap Tilting Conndence Intervals

Bootstrap tilting con dence intervals could be the method of choice in many applications for reasons of both speed and accuracy With the right implementation tilting intervals are times as fast as bootstrap BC a limits in terms of the number of bootstrap samples needed for comparable simulation accuracy Thus bootstrap samples might su ce instead of Tilting limits have other desirable properties...

Rigidity of Tilting Modules

Let Uq denote the quantum group associated with a finite dimensional semisimple Lie algebra. Assume that q is a complex root of unity of odd order and that Uq is obtained via Lusztig’s q-divided powers construction. We prove that all regular projective (tilting) modules for Uq are rigid, i.e., have identical radical and socle filtrations. Moreover, we obtain the same for a large class of Weyl m...

Cluster-Tilting Theory

Tilting theory provides a good method for comparing two categories, such as module categories of finite-dimensional algebras. For an introduction, see e.g. [A]. BGP reflection functors [BGP] give a way of comparing the representation categories of two quivers, where one is obtained from the other by reversing all of the arrows incident with a sink or source. Auslander, Platzeck and Reiten [APR]...

Cluster Tilting and Complexity

We study the notion of positive and negative complexity of pairs of objects in cluster categories. The first main result shows that the maximal complexity occurring is either one, two or infinite, depending on the representation type of the underlying hereditary algebra. In the second result, we study the bounded derived category of a cluster tilted algebra, and show that the maximal complexity...