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• W3104260944 startingPage "1473" @default.
• W3104260944 abstract "Abstract 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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>𝔤</m:mi> <m:mo>=</m:mo> <m:mi>W</m:mi> <m:mo>(</m:mo> <m:mi>n</m:mi> <m:mo>)</m:mo> </m:mrow> </m:math> $ mathfrak {g}= W(n) $ and its standard representation is described." @default.
• W3104260944 created "2020-11-23" @default.
• W3104260944 creator A5001556834 @default.
• W3104260944 date "2012-09-12" @default.
• W3104260944 modified "2023-09-27" @default.
• W3104260944 title "Algebraic supergroups of Cartan type" @default.
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• W3104260944 doi "https://doi.org/10.1515/forum-2011-0144" @default.
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