科研之友
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摘要
We announce results on projective elementary groups and on Steinberg groups associated to Jordan pairs V with a grading by a locally finite 3-graded root system Phi: The projective elementary group PE(V) of V is a group with Phi-commutator relations with respect to appropriately defined root subgroups. Under some mild additional conditions, the Steinberg group associated to PE(V) uniquely covers all central extensions of PEW) and is the universal central extension of PE(V) if Phi is irreducible and has infinite rank.
- 出版日期2010-8
