Inhomogeneous Oscillator Representations of P(n)Ling Chen Abstract We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n) on supersymmetric polynomial algebras and on spaces of supersy...Inhomogeneous Oscillator Representations of P(n)Ling Chen Abstract We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n) on supersymmetric polynomial algebras and on spaces of supersymmetric exponentialpolynomial functions.We obtain the composition series for these representations.The obtained irreducible modules are infinite dimensional.Some of them are not of highest-weight type and even not weight modules.展开更多
We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n)on supersymmetric polynomial algebras and on spaces of supersymmetric exponential-polynomial functions.We obtain the composition s...We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n)on supersymmetric polynomial algebras and on spaces of supersymmetric exponential-polynomial functions.We obtain the composition series for these representations.The obtained irreducible modules are infinite dimensional.Some of them are not of highest-weight type and even not weight modules.展开更多
In this paper, both canonical and noncanonical polynomial representations of Lie super- algebara of Q-type are investigated. It turns out that not all these representations are completely reducible. Moreover, the repr...In this paper, both canonical and noncanonical polynomial representations of Lie super- algebara 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.展开更多
文摘Inhomogeneous Oscillator Representations of P(n)Ling Chen Abstract We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n) on supersymmetric polynomial algebras and on spaces of supersymmetric exponentialpolynomial functions.We obtain the composition series for these representations.The obtained irreducible modules are infinite dimensional.Some of them are not of highest-weight type and even not weight modules.
基金Supported by the Fundamental Research Funds for the Central Universities,NSFC(Grant No.11401559)UCAS(Grant No.Y55202HY00)。
文摘We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n)on supersymmetric polynomial algebras and on spaces of supersymmetric exponential-polynomial functions.We obtain the composition series for these representations.The obtained irreducible modules are infinite dimensional.Some of them are not of highest-weight type and even not weight modules.
文摘In this paper, both canonical and noncanonical polynomial representations of Lie super- algebara 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.
