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arxiv: 1809.02166 · v1 · pith:264G7IB4new · submitted 2018-09-05 · 🧮 math.RA

Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras

classification 🧮 math.RA
keywords heisenbergsuperalgebrasgradingstwistedfinegroupsweyladding
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In this paper we define the so-called twisted Heisenberg superalgebras over the complex number field by adding derivations to Heisenberg superalgebras. We classify the fine gradings up to equivalence on twisted Heisenberg superalgebras and determine the Weyl groups of those gradings.

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