完备化Witt代数中自然出现的一些非有限阶化李代数的表示

梁俊平, 范广哲

数学学报 ›› 2016, Vol. 59 ›› Issue (6) : 721-728.

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PDF(397 KB)
数学学报 ›› 2016, Vol. 59 ›› Issue (6) : 721-728. DOI: 10.12386/A2016sxxb0064
论文

完备化Witt代数中自然出现的一些非有限阶化李代数的表示

    梁俊平1, 范广哲2
作者信息 +

Representations of Some Not-finitely Graded Lie Algebras Arised from the Completed Witt Algebra

    Jun Ping LIANG1, Guang Zhe FAN2
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摘要

讨论了完备化Witt代数的三类非有限阶化子代数的不可约非权模的实现,并利用它们的表示得到一些有趣的组合恒等式.

Abstract

We give realizations of irreducible non-weight modules of three classes of not-finitely graded algebras arisen from the completed Witt algebra, we also obtain some interesting combinatorial identities.

关键词

完备化Witt代数 / 非有限阶化代数 / 最高权模 / 不可约非权模 / 组合恒等式

Key words

completed Witt algebra / not-finitely graded algebra / highest weight mod-ule / irreducible non-weight module / combinatorial identities

引用本文

导出引用
梁俊平, 范广哲. 完备化Witt代数中自然出现的一些非有限阶化李代数的表示. 数学学报, 2016, 59(6): 721-728 https://doi.org/10.12386/A2016sxxb0064
Jun Ping LIANG, Guang Zhe FAN. Representations of Some Not-finitely Graded Lie Algebras Arised from the Completed Witt Algebra. Acta Mathematica Sinica, Chinese Series, 2016, 59(6): 721-728 https://doi.org/10.12386/A2016sxxb0064

参考文献

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基金

国家自然科学基金资助项目(11431010,11371278);龙岩学院科研项目(LB2014018)

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