科研之友
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摘要
I present a construction of connected affine algebraic supergroups G(V) associated with simple Lie superalgebras g of Cartan type and with g-modules V. Conversely, I prove that every connected affine algebraic supergroup whose tangent Lie superalgebra is of Cartan type is necessarily isomorphic to one of the supergroups G(V) that I introduced. In particular, the supergroup associated in this way with g = W(n) and its standard representation is described.
- 出版日期2014-9
