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On the theory of prosymmetric reductive spaces. (Russian) Zbl 1054.53072
Algebraic descriptions of certain classes of spaces are presented that are close to symmetric ones, namely, invariant, quasi-reductive and reductive ones. The concept of odule is discussed in detail, including geometric, symmetric, prosymmetric, invariant, left-monoassociative, reductive ones.
MSC:
53C30 Differential geometry of homogeneous manifolds
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