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- W4310632621 abstract "In this paper, we begin the study of highest weight representations of the quantized enveloping superalgebra ${mathfrak U}_q {mathfrak p}_n$ of type $P$. We introduce a Drinfeld-Jimbo representation and establish a triangular-decomposition of ${mathfrak U}_q {mathfrak p}_n$. We explain how to relate modules over ${mathfrak U}_q {mathfrak p}_n$ to modules over ${mathfrak p}_n$, the Lie superalgebra of type $P$, and we prove that the category of tensor modules over ${mathfrak U}_q {mathfrak p}_n$ is not semisimple." @default.
- W4310632621 created "2022-12-13" @default.
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- W4310632621 date "2022-12-01" @default.
- W4310632621 modified "2023-10-12" @default.
- W4310632621 title "Highest Weight Modules Over The Quantum Periplectic Superalgebra of Type $P$" @default.
- W4310632621 doi "https://doi.org/10.48550/arxiv.2212.00617" @default.
- W4310632621 hasPublicationYear "2022" @default.
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