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Keywords:
modular Lie superalgebra; generalized reduced Verma module; coinduced module; invariant form; mixed product
modular Lie superalgebra; generalized reduced Verma module; coinduced module; invariant form; mixed product
Summary:
We study some properties of generalized reduced Verma modules over $\mathbb {Z}$-graded modular Lie superalgebras. Some properties of the generalized reduced Verma modules and coinduced modules are obtained. Moreover, invariant forms on the generalized reduced Verma modules are considered. In particular, for $\mathbb {Z}$-graded modular Lie superalgebras of Cartan type we prove that generalized reduced Verma modules are isomorphic to mixed products of modules.
References:
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