On polynomial representations of strange Lie superalgebras of Q-type

Authors
Luo, Cui Ling
Citation
Luo, Cui Ling, On polynomial representations of strange Lie superalgebras of Q-type, Acta mathematica Sinica. English series (Print) , 32(5), 2016, pp. 559-570
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
5
Year of publication
2016
Pages
559 - 570
Database
ACNP
SICI code
Abstract
In this paper, both canonical and noncanonical polynomial representations of Lie superalgebara of Q-type are investigated. It turns out that not all these representations are completely reducible. Moreover, the representation spaces has only two proper submodules when it is completely reducible, and has a unique composition series when it is not completely reducible.