Typical blocks of Lie superalgebras in prime characteristic
Lei Zhao

TL;DR
This paper establishes an equivalence between typical blocks of modules over Lie superalgebras and their even parts in prime characteristic, providing new insights into their representation theory.
Contribution
It introduces an equivalence of categories for typical blocks of Lie superalgebra modules and their even subalgebras in prime characteristic.
Findings
Equivalence of categories for typical blocks established
Consequences for representation theory derived
Simplifies understanding of Lie superalgebra modules
Abstract
For a type I basic classical Lie superalgebra , we establish an equivalence between typical blocks of categories of -modules and U_{\chi}(mathfrak{g}_{\bar{0})-modules. We then deduce various consequences from the equivalence.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology
