The 3|2 super-Chevalley restriction map fails to be an isomorphism for so(7) due to a non-Cartan class; explicit fortuitous classes counter stable-image expectations for sl(2) and so(7); relative cohomologies of (so7, sp6) are not isomorphic classically.
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Super-Chevalley Restriction and Relative Lie Algebra Cohomology over the 2|3 Algebra
The 3|2 super-Chevalley restriction map fails to be an isomorphism for so(7) due to a non-Cartan class; explicit fortuitous classes counter stable-image expectations for sl(2) and so(7); relative cohomologies of (so7, sp6) are not isomorphic classically.