lattice group
1.and forany e, f e E the following conditions holde + ef + e = e, ef + fe + ef = ef. then S is a distributive lattice of quasi-group semirings.
4.A Laplace expansion formula for the determinant of lattice matrices is given. The relationship of a lattice matrice with its adjoint matrice and determinant is studied. Using determinant of lattice matrices, the Cramer rule of linear equation group,which takes the lattice element as its coefficient, is presented, also.
6.A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z_2 LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD
7.In this paper we construct a lattice formulation of the pure gauge fields on a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a fourdimensional Euclidean space lattice, which has the continuum limit as usual.
10.Applying the point-group theory we evaluated the lattice distortion of silicon doped with atomic platinum, then performed the EHT calculations and finally, compared the calculated results with the experimental data.
