Gel-filtration chromatography is a versatile method that permits the effective separation of biological molecules in high yield. This article describes the basis of the method, the selection of suitable operating conditions, and contrasts typical matrix types. Applications of the technique are described, with references to the scientific literature.

In this paper we study the PBW filtration on irreducible integrable highest weight representations of affine Kac-Moody algebra b g. The n-th space of this filtration is spanned with the vectors x1. .. xsv, where xi ∈ b g, s ≤ n and v is a highest weight vector. For the vacuum module we give a conjectural description of the corresponding adjoint graded space in terms of generators and relations....

We study Deligne’s conjecture on the monodromy weight filtration on the nearby cycles in the mixed characteristic case, and reduce it to the nondegeneracy of certain pairings in the semistable case. We also prove a related conjecture of Rapoport and Zink which uses only the image of the Cech restriction morphism, if Deligne’s conjecture holds for a general hyperplane section. In general we show...

In this paper we study the PBW filtration on irreducible integrable highest weight representations of affine Kac-Moody algebras ĝ. The n-th space of this filtration is spanned by the vectors x1 . . . xsv, where xi ∈ ĝ, s ≤ n, and v is a highest weight vector. For the vacuum module we give a conjectural description of the corresponding adjoint graded space in terms of generators and relations. F...

High levels of turbidity and suspended solids are the major disadvantages of aerated lagoons. Aerated lagoon effluent filtration was investigated by Horizontal Roughing Filter (HRF). Removal efficiencies were determined by examining total phosphorus (TP) and total Kjeldahl Nitrogen (TKN) from HRF influent and effluent, simultaneously. HRF pilot system located on effluent pump station of Qom was...