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Research from Tor Vergata University has provided new information about mathematics
March 24th, 2008
According to recent research from Rome, Italy, "Let R be an integral domain, let h epsilon R/{0} be such that k:= R/hR is a field, and let HA be the category of torsionless (or flat) Hopf algebras over R. We call H epsilon HA a ''quantized function algebra'' (= QFA), resp. ''quantized restricted universal enveloping algebra'' (= QrUEA), at h if-roughly speaking-H/hH is the function algebra of a connected Poisson group, resp. the (restricted, if R/hR has positive characteristic) universal enveloping algebra of a (restricted) Lie bialgebra." "Extending a result of Drinfeld, we establish an ''inner'' Galois' correspondence on HA, via two endofunctors, ( )(v) and ( )', of HA...
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Source: VerticalNews Mathematics (2008-03-24)
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