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Chevalley Supergroups of Type D(2, 1; a)
Published online by Cambridge University Press: 21 August 2013
Abstract
We present a construction ‘à la Chevalley’ of connected affine supergroups associated with Lie superalgebras of type D(2, 1; a), for any possible value of the parameter a. This extends the results by Fioresi and Gavarini, in which all other simple Lie superalgebras of classical type were considered. The case of simple Lie superalgebras of Cartan type is dealt with in a previous paper by the author, so this work completes the programme of constructing connected affine supergroups associated with any simple Lie superalgebra.
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- Copyright © Edinburgh Mathematical Society 2014
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