ترغب بنشر مسار تعليمي؟ اضغط هنا

New irreducible tensor product modules for the Virasoro algebra

128   0   0.0 ( 0 )
 نشر من قبل Xiangqian Guo
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules $Omega(lambda,alpha,h)$ defined in cite{CG}, with irreducible highest weight modules $V(theta,h)$ or with irreducible Virasoro modules Ind$_{theta}(N)$ defined in cite{MZ2}. We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. These modules are not isomorphic to any other known irreducible Virasoro modules.

قيم البحث

اقرأ أيضاً

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules $Omega(lambda,alpha,h)$ and $Omega(mu, b)$ with irreducible highest weight modules $V(theta,h)$ or with irreducible Virasoro modules In d$_{theta}(N)$ defined in [MZ2]. We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. We also compare these modules with other known non-weight Virasoro modules.
In this paper, we present a class of non-weight Virasoro modules $mathcal{M}big(V,Omega(lambda_0,alpha_0)big)otimesbigotimes_{i=1}^mOmega(lambda_i,alpha_i)$ where $Omega(lambda_i,alpha_i)$ and $mathcal{M}big(V,Omega(lambda_0,alpha_0)big)$ are irreduc ible Virasoro modules defined in cite{LZ2} and cite{LZ} respectively. The necessary and sufficient conditions for $mathcal{M}big(V,Omega(lambda_0,alpha_0)big)otimesbigotimes_{i=1}^mOmega(lambda_i,alpha_i)$ to be irreducible are obtained. Then we determine the necessary and sufficient conditions for two such irreducible Virasoro modules to be isomorphic. At last, we show that the irreducible modules in this class are new.
165 - Haibo Chen , Yucai Su 2019
In this paper, we realize polynomial $H$-modules $Omega(lambda,alpha,beta)$ from irreducible twisted Heisenberg-Virasoro modules $A_{alpha,beta}$. It follows from $H$-modules $Omega(lambda,alpha,beta)$ and $mathrm{Ind}(M)$ that we obtain a class of n atural non-weight tensor product modules $big(bigotimes_{i=1}^mOmega(lambda_i,alpha_i,beta_i)big)otimes mathrm{Ind}(M)$. Then we give the necessary and sufficient conditions under which these modules are irreducible and isomorphic, and also give that the irreducible modules in this class are new.
In this paper, we studied the jet modules for the centerless Virasoro-like algebra which is the Lie algebra of the Lie group of the area-preserving diffeomorphisms of a $2$-torus. The jet modules are certain natural modules over the Lie algebra of se mi-direct product of the centerless Virasoro-like algebra and the Laurent polynomial algebra in two variables. We reduce the irreducible jet modules to the finite-dimensional irreducible modules over some infinite-dimensional Lie algebra and then characterize the irreducible jet modules with irreducible finite dimensional modules over $mathfrak{sl}_2$. To determine the indecomposable jet modules, we use the technique of polynomial modules in the sense of cite{BB, BZ}. Consequently, indecomposable jet modules are described using modules over the algebra $BB_+$, which is the positive part of a Block type algebra studied first by cite{DZ} and recently by cite{IM, I}).
163 - Dong Liu , Cuipo Jiang 2008
In this paper, we classify all indecomposable Harish-Chandra modules of the intermediate series over the twisted Heisenberg-Virasoro algebra. Meanwhile, some bosonic modules are also studied.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا