Introduces defining sequences for root systems of types A,B,C,D Lie superalgebras and determines Coxeter systems for their super Weyl groups via explicit graphs.
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Proves existence and uniqueness for basic quasi-reductive supergroups from root data and classifies connected quasi-reductive supergroups under non-degenerate form and invertible odd reflections as monodromy type.
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Defining sequences for fundamental root systems and Coxeter graphs for super Weyl groups
Introduces defining sequences for root systems of types A,B,C,D Lie superalgebras and determines Coxeter systems for their super Weyl groups via explicit graphs.
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Basic quasi-reductive root data and supergroups
Proves existence and uniqueness for basic quasi-reductive supergroups from root data and classifies connected quasi-reductive supergroups under non-degenerate form and invertible odd reflections as monodromy type.