RELATIVE CELLULAR ALGEBRAS

M. Ehrig; D. Tubbenhauer

doi:10.1007/s00031-019-09544-5

RELATIVE CELLULAR ALGEBRAS

M. Ehrig^*, D. Tubbenhauer

^*此作品的通讯作者

数学学院

University of Zurich

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

In this paper we generalize cellular algebras by allowing different partial orderings relative to fixed idempotents. For these relative cellular algebras we classify and construct simple modules, and we obtain other characterizations in analogy to cellular algebras. We also give several examples of algebras that are relative cellular, but not cellular: most prominently, the restricted enveloping algebra and the small quantum group for sl₂, and an annular version of arc algebras.

源语言	英语
页（从-至）	229-277
页数	49
期刊	Transformation Groups
卷	26
期	1
DOI	https://doi.org/10.1007/s00031-019-09544-5
出版状态	已出版 - 3月 2021

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10.1007/s00031-019-09544-5

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Ehrig, M., & Tubbenhauer, D. (2021). RELATIVE CELLULAR ALGEBRAS. Transformation Groups, 26(1), 229-277. https://doi.org/10.1007/s00031-019-09544-5

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RELATIVE CELLULAR ALGEBRAS

摘要

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