Realizations of

Realizations of Crystals

Once we know the crystal associated with representations, we can read for example the branching rule, decomposition into irreducible components of tensor products, etc. Hence it is important to give the explicit crystal structure of representations. Several constructions are already known: 1. the description by using the elementary crystals Bi ([1]), 2. Littelmann’s path realizations ([7, 8]), ...

Realizations of Biextensions

In this paper k is a field of characteristic 0 embeddable in C and M(k) is the category of 1-motives over k. In this paper we prove that Biext(M1, M2;M3) = HomMR(k) (

Geometric Realizations of Substitutions

Possible realizations of multiplicity constraints

Model Driven Development (MDD) approach is often used to model application data and behavior by a Platform Independent Model (PIM) and to generate Platform Specific Models (PSMs) and even the source code by model transformations. However, these transformations usually omit constraints of the binary association multiplicities, especially the source class optionality constraint. This paper is an ...

Realizations of linear control systems

Linear constant-coefficients control systems with output on arbitrary time scales are studied. Kalman criteria of controllability and observability are extended to such systems. The main problem is to find criteria for an abstract input/output map to have a realization as a system on the time scale. Two different characterizations of realizability are proved. They extend the classical results o...