Group theory, algebraic models

Turbulence modeling capability (range of models). Eddy viscosity k-1, k-e, and Reynolds stress. k-e and Algebraic stress. Reynolds stress and renormalization group theory (RNG) V. 4.2 k-e. low Reynolds No.. Algebraic stress. Reynolds stress and Reynolds flux. k- Mixing length (user subroutine) and k-e. 

The general theory of classical limits of algebraic models is formulated not in terms of the group coherent states of Eq. (7.17) but rather in terms of projective coherent states. The ground-state projective coherent state is... 

The concept of a coset space is discussed in detail in books on group theory (Gilmore, 1974) and is reviewed in Chapter 3 of Iachello and Arima (1987). The coset spaces of interest for algebraic models with structure U(n) are the spaces U(n)/U(n - 1) U(l). These spaces are complex spaces with (n - 1) complex variables (coordinates and momenta). 

About 20 years ago, the theory of the be- and r-matrices, a global algebraic model of the logical structure of constitutional chemistry was formulated. This theory is the first direct mathematical approach to chemistry which also accentuates its dynamic aspect. The representation by mathematics comprises the individual objects of chemistry and also their relations, including their interconvertibility by chemical reactions. A decade later, the theory of the chemical identity groups was published in a monograph. It is a unified theory of stereochemistry that is primarily devoted to relations between molecular systems. 

Our role model here is the localization exact sequence of algebraic K-theory, which identifies the relative K-groups K (A-... 

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