WebAbout the reduceness of the commuting scheme associated with a symmetric pair. Let G be a connected reductive algebraic group over the field of complex numbers, and let … Webthe ring of conjugation-invariant functions on the scheme of commuting. pairs in a complex reductive group. The answer was known up to. nilpotents, and we show that this ring is indeed reduced. We also. describe the ring of invariant functions on the derived version of the. commuting scheme. The proof brings in seemingly unrelated objects such.
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Hitchin fibration and commuting schemes - Yale University
Webcommuting scheme has always been of some interest in invariant theory but it was only re- cent that it appears as a primordial object in the study of moduli space of Higgs bundles for higher dimensionalvarieties. WebJSTOR Home WebNov 15, 2007 · We also find a surjection from the ring of invariants over the commuting scheme to the ring of multisymmetric functions. This surjection is an isomorphism over … breakfast secret harbour