Verma modules over generalized Witt algebras

VLADIMIR MAZORCHUK

doi:10.1023/A:1000531924778

Abstract

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We constuct and investigate a structure of Verma-like modules over generalized Witt algebras. We also prove Futorny-like theorem for irreducible weight modlues whose dimensions of the weight spaces are uniformly bounded.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Su, Yucai and Zhou, Jianhua 2002. STRUCTURE OF THE LIE ALGEBRAS RELATED TO THOSE OF BLOCK. Communications in Algebra, Vol. 30, Issue. 7, p. 3205.

Mazorchuk, Volodymyr 2002. On quasicrystal Lie algebras. Journal of Mathematical Physics, Vol. 43, Issue. 5, p. 2791.

Hu, Jun Wang, Xian-Dong and Zhao, Kai-Ming 2003. Verma modules over generalized Virasoro algebras Vir[G]. Journal of Pure and Applied Algebra, Vol. 177, Issue. 1, p. 61.

Mazorchuk, Volodymyr and Twarock, Reidun 2003. Virasoro-type algebras associated with a Penrose tiling. Journal of Physics A: Mathematical and General, Vol. 36, Issue. 15, p. 4363.

Su, Yucai 2003. Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras. Communications in Mathematical Physics, Vol. 240, Issue. 3, p. 539.

Lu, Rencai and Zhao, Kaiming 2006. Classification of irreducible weight modules over higher rank Virasoro algebras. Advances in Mathematics, Vol. 206, Issue. 2, p. 630.

Wang, Xian-Dong 2006. Verma Modules Over Generalized Block AlgebrasB(b(1),b(2)). Communications in Algebra, Vol. 34, Issue. 2, p. 415.

Wang, Xian-Dong and Zhao, Kaiming 2006. Verma modules over Virasoro-like algebras. Journal of the Australian Mathematical Society, Vol. 80, Issue. 2, p. 179.

Cheng, Yongsheng and Su, Yucai 2008. Generalized Verma modules over some Block algebras. Frontiers of Mathematics in China, Vol. 3, Issue. 1, p. 37.

Tan, Shaobin and Zhang, Xiufu 2009. Automorphisms and Verma modules for generalized Schrödinger–Virasoro algebras. Journal of Algebra, Vol. 322, Issue. 4, p. 1379.

Guo, Xiangqian and Liu, Xuewen 2010. Weight modules with a finite dimensional weight space over truncated Virasoro algebras. Journal of Mathematical Physics, Vol. 51, Issue. 12,

LÜ, RENCAI and ZHAO, KAIMING 2010. CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA. Communications in Contemporary Mathematics, Vol. 12, Issue. 02, p. 183.

Guo, Xiangqian and Liu, Xuewen 2011. Whittaker Modules over Generalized Virasoro Algebras. Communications in Algebra, Vol. 39, Issue. 9, p. 3222.

Guo, Xiangqian Lu, Rencai and Zhao, Kaiming 2011. Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra. Forum Mathematicum, Vol. 23, Issue. 5,

Savage, Alistair 2012. Classification of irreducible quasifinite modules over map Virasoro algebras. Transformation Groups, Vol. 17, Issue. 2, p. 547.

Mazorchuk, Volodymyr and Zhao, Kaiming 2013. Characterization of Simple Highest Weight Modules. Canadian Mathematical Bulletin, Vol. 56, Issue. 3, p. 606.

Liu, Genqiang and Guo, Xiangqian 2014. Harish-Chandra modules over generalized Heisenberg-Virasoro algebras. Israel Journal of Mathematics, Vol. 204, Issue. 1, p. 447.

Ruan, Wenlan Zhang, Honglian and Sun, Jiancai 2017. Automorphisms and Verma Modules for Generalized 2-dim Affine-Virasoro Algebra. Algebra Colloquium, Vol. 24, Issue. 02, p. 285.

Li, Zhiqiang and Tan, Shaobin 2020. Verma modules for rank two Heisenberg-Virasoro algebra. Science China Mathematics, Vol. 63, Issue. 7, p. 1259.

Cai, Yan-an Lü, Rencai and Wang, Yan 2021. Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra. Journal of Algebra, Vol. 570, Issue. , p. 397.

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Verma modules over generalized Witt algebras

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Verma modules over generalized Witt algebras

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