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- W3015635495 abstract "Abstract We prove that the tensor product of a simple and a finite dimensional $${mathfrak {sl}}_n$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>sl</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> -module has finite type socle. This is applied to reduce classification of simple $${mathfrak {q}}(n)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>q</mml:mi><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> -supermodules to that of simple $${mathfrak {sl}}_n$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>sl</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> -modules. Rough structure of simple $${mathfrak {q}}(n)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>q</mml:mi><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> -supermodules, considered as $${mathfrak {sl}}_n$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>sl</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> -modules, is described in terms of the combinatorics of category $${mathcal {O}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>O</mml:mi></mml:math> ." @default.
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- W3015635495 date "2020-04-06" @default.
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- W3015635495 title "Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras" @default.
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