Articles with "modules lie" as a keyword



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Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

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Published in 2018 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-020-02510-y

Abstract: We prove that the tensor product of a simple and a finite dimensional $${\mathfrak {sl}}_n$$ sl n -module has finite type socle. This is applied to reduce classification of simple $${\mathfrak {q}}(n)$$ q ( n… read more here.

Keywords: algebras simple; lie algebras; simple mathfrak; translated simple ... See more keywords
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Non-weight modules over N = 1 Lie superalgebras of Block type

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Published in 2023 at "Forum Mathematicum"

DOI: 10.1515/forum-2022-0267

Abstract: Abstract In this paper, a class of non-weight modules over N = 1 {N=1} Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block type are free of rank… read more here.

Keywords: weight modules; modules lie; block; block type ... See more keywords