invariant derivations
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2009 ◽  
Vol 16 (03) ◽  
pp. 361-370 ◽  
Author(s):  
Bin Shu ◽  
Lisun Zheng

Let G be an algebraic supergroup over a field k, whose pure-even group scheme G ev is a reduced algebraic group scheme, i.e., [Formula: see text] is reduced. In this paper, we prove that Lie (G) can be identified with the Lie superalgebra of admissible left-invariant derivations of k[G].


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