Phases and conjugacy classes
The preceding section is a synopsis of the results obtained by a conjugacy class analysis of the SGA for an anisotropic fermi superfluid. I apologize for the jargon used in describing the various experimentally observed states; however, there is enough correspondence between subalgebras and phases to suggest that the relationship is not merely fortuitous. In each case the experimentally observed state reduces to an so(3) subalgebra-; this is reasonable as, being of rank 1, such an algebra is associated with one observable (Casimir operator). This observable corresponds to the single energy gap associated with the state.
KeywordsConjugacy Class Cartan Subalgebra Casimir Operator Superfluid Helium Pairwise Intersection
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