The rules are presented in terms of integrity bases and compatibility rules. The third part is in character similar to the first part-the Weyl orbit-orbit branching rules are computed for affine algebra-subalgebra, pairs obtained from the pairs listed above by affinization. The branching rules are given in terms of generating functions. ![]() representation-representation branching rules) for the algebra subalgebra series son ⊃son-2 ⊕u1. In the second part we use results from the first part to derive the complete branching rules (i.e. The branching rules are given in terms of integrity bases and compatibility rules. ![]() In the first part the Weyl orbit-orbit branching rules are calculated for all classical simple Lie algebra - maximal regular reductive subalgebra pairs: Cm+n⊃Cm⊕C n, Dm+n⊃Dm⊕D n, Bm+n⊃Dm⊕B n. This thesis is devoted to branching rules for Lie algebras, that is the description of decompositions of algebra representations upon restriction to a subalgebra, and consists of three major parts.
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