12,740 research outputs found

    Simple Toroidal Vertex Algebras and Their Irreducible Modules

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    In this paper, we continue the study on toroidal vertex algebras initiated in \cite{LTW}, to study concrete toroidal vertex algebras associated to toroidal Lie algebra Lr(g^)=g^⊗LrL_{r}(\hat{\frak{g}})=\hat{\frak{g}}\otimes L_r, where g^\hat{\frak{g}} is an untwisted affine Lie algebra and Lr=L_r=\mathbb{C}[t_{1}^{\pm 1},\ldots,t_{r}^{\pm 1}].Wefirstconstructan. We first construct an (r+1)−toroidalvertexalgebra-toroidal vertex algebra V(T,0)andshowthatthecategoryofrestricted and show that the category of restricted L_{r}(\hat{\frak{g}})−modulesiscanonicallyisomorphictothatof-modules is canonically isomorphic to that of V(T,0)−modules.Let-modules.Let cdenotethestandardcentralelementof denote the standard central element of \hat{\frak{g}}andset and set S_c=U(L_r(\mathbb{C}c)).Wefurthermorestudyadistinguishedsubalgebraof. We furthermore study a distinguished subalgebra of V(T,0),denotedby, denoted by V(S_c,0).Weshowthat(graded)simplequotienttoroidalvertexalgebrasof. We show that (graded) simple quotient toroidal vertex algebras of V(S_c,0)areparametrizedbya are parametrized by a \mathbb{Z}^r−gradedringhomomorphism-graded ring homomorphism \psi:S_c\rightarrow L_rsuchthatIm such that Im\psiisa is a \mathbb{Z}^r−gradedsimple-graded simple S_c−module.Denoteby-module. Denote by L(\psi,0}thesimple the simple (r+1)−toroidalvertexalgebraof-toroidal vertex algebra of V(S_c,0)associatedto associated to \psi.Wedetermineforwhich. We determine for which \psi,, L(\psi,0)isanintegrable is an integrable L_{r}(\hat{\frak{g}})−moduleandwethenclassifyirreducible-module and we then classify irreducible L(\psi,0)−modulesforsucha-modules for such a \psi$. For our need, we also obtain various general results.Comment: 50 page

    UMP duduki tangga ke-58 terbaik dunia

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    PEKAN -Universiti Malaysia Pahang (UMP) tersenarai pada kedudukan ke-58 terbaik di dunia berdasarkan usaha kelestarian kampus da npengurusan alam sekitar dalam penarafan UI-Greenmetric World University Ranking yang diterbitkan baru-baru ini

    Dana RM400,000 bantu ringan beban pelajar UMP

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    Kuantan- Bagi mengurangkan beban pelajar sepanjang tempoh pengajian, Universiti Malaysia Pahang (UMP) meluluskan biasiswa berjumlah RM400,000 kepada pelajar berkelayakan menerusi program MyGift

    Jom Lepak@ Masjid imarah rumah Allah

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    Kuantan- Pusat Islam dan Pembangunan Insan (Pimpin), Universiti Malaysia Pahang (UMP) dengan kerjasama Masjid At-Taqwa, Pekan menganjurkan Program Jom Lepak @ Masjid, pada 11 hingga 12 November lalu

    Rail link a huge economic boost

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    KUANTAN: The economic impact of the East Coast Rail Link (ECRL) is huge and critics who say it is not feasible are wrong

    UMP Splash Run 2016 kumpul RM10,000

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    KUANTAN- Sebanyak RM10,000 berjaya dikumpul sempena larian amal Universiti Malaysia Pahang (UMP) Splash Run 2016 anjuran Jabatan Hal Ehwal Pelajar dan Alumni (JHEPA) yang diadakan di UMP kampus Gambang di sini, Sabtu lalu

    Universiti tingkat dana tabung wakaf

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    Universiti Awam perlu berusaha meningkatkan dana tabung wakaf masing-masing sebagai sumber penjanaan alternatif, kata Menteri Pendidikan Tmggi, Datuk Seri Idris Jusoh
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