Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

By generalizing the Reshetikhin and Semenov-Tian-Shansky construction to supersymmetric cases, we obtain the Drinfeld current realization for the quantum affine superalgebra U-q[gl(m\n)((1))]. We find a simple coproduct for the quantum current generators and establish the Hopf algebra structure of this super current algebra.

Slaking, dispersion, and crust formation

Soil structure is generally defined as the arrangement, orientation, and organization of the primary particles of sand, silt, and clay into compound aggregates, which exhibit properties that are unequal to the properties of a mass of nonaggregated material with a similar texture.6 Therefore the nature of soil structure is that it conveys specific properties to the soil and any alteration, i.e., breakdown or structural development, to the soil structural units will affect the physical properties of the soil. The aggregation and organization of the soil particles tend to form a hierarchical order4, 5 where the lower orders tend to have higher densities and greater internal strength than the higher orders. A schematic diagram of the hierarchical nature of soil structural elements in a clay soil is given in Fig. 1.4 Clay particles tend to form domains (packets of parallel clay sheets, generally consisting of 5-7 sheets), in turn several domains form clusters, followed by several orders of clusters, micro- and macroaggregates. The hierarchical nature implies that the destruction of a lower order will result in the destruction of all higher hierarchical orders. An example is the dispersion of sodic clay domains which results in the destruction of all higher orders, resulting in a dense soil with low hydraulic conductivity. Hence the clay domains are the fundamental building blocks of the soil and its integrity may determine the soil's physical properties and behavior.