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Dec 23, 2011 at 5:10 comment added Chuck Hague Oh yes, that should have been "Springer isomorphisms." Somehow I was thinking about Richardson elements and got mixed up.
Dec 23, 2011 at 5:10 history edited Chuck Hague CC BY-SA 3.0
Fixed title
Dec 23, 2011 at 5:07 vote accept Chuck Hague
Dec 23, 2011 at 2:17 answer added George McNinch timeline score: 5
Dec 22, 2011 at 22:28 comment added Jim Humphreys Is "Richardson isomorphisms" in the header an oversight? Aside from that, the non-uniqueness of Springer isomorphisms (especially for exceptional root systems) needs to be built more carefully into the question, since there might be multiple maps $\phi$ of the type you consider. For the classical root systems there are explicit maps available (Cayley, etc.); have you looked at these cases? It's also good to add a reference, such as McNinch-Testerman, J. Pure Appl. Algebra 213 (2009), 1346–1363.
Dec 22, 2011 at 19:47 history asked Chuck Hague CC BY-SA 3.0