The blocks of the q-Schur algebra

In [11] , Donkin determined the blocks of the classical Schur algebras in positive characteristic from the blocks of the corresponding general linear group. We show in this paper that an analogous result for the q-Schur algebras Sq(n,d) (when q is a primitive lth root of unity) can be derived in the same way from the blocks of an appropriate quantum general linear group...</p

The tilting tensor product theorem and decomposition numbers for symmetric groups

We show how the tilting tensor product theorem for algebraic groups implies a reduction formula for decomposition numbers of the symmetric group. We use this to prove generalisations of various theorems of Erdmann and of James and Williams

On the blocks of the infinitesimal Schur algebras

For a reductive algebraic group scheme G, much can be learnt about its representations over a field k of characteristic p > 0 by studying the representations of a related group scheme, GrT, associated to the rth Frobenius kernel Gr and a maximal torus T of G. In the case G =GL(n, k) one can also consider the polynomial representations, and reduce to the study of representations of the Schur algebras. In [8] these two approaches were combined, and gave rise to the construction of a monoid scheme Mr D whose representations are equivalent to the polynomial representations of GrT. Just as in the ordinary case, this leads naturally to the study of certain finite dimensional algebras, the infinitesimal Schur algebras. In this paper we determine the blocks of these algebras when n = 2, which extends a result in [9] where the blocks were determined in the case n = 2 and r = 1. We conclude by defining a quantum version of the infinitesimal Schur algebras, and show that the corresponding result also holds in this case

Simulation Modeling of Alternative Staffing and Task Prioritization in Manual Post-Distribution Cross Docking Facilities

Many supply chains have grown increasingly complex, which has led to the development of different facility types. One such facility is known as a post-distribution cross docking system (Post-C). In these facilities, bulk sorted product is received from various suppliers. Each product has its own destination, so the bulk package is broken, sorted by destination, and staged by destination. Typical processing includes: sort received goods by product type; break bulk and sort out goods by destination; move palletized goods to the staging areas of their respective destinations. This paper compares a global staffing policy (in which all workers may perform any task) to a dedicated staffing policy (in which groups of workers are assigned specific tasks). Through comparisons of the two models, it was found the dedicated worker model’s benefits from reduced change-over outweigh the lower worker utilization it experiences

Bezoutians and Tate Resolutions

This paper gives an explicit construction of the Tate resolution of sheaves arising from the d-fold Veronese embedding of P^n. Our description involves the Bezoutian of n+1 homogenous forms of degree d in n+1 variables. We give applications to duality theorems, including Koszul duality.Comment: 11 pages, LaTex2e using xypi