RELATIVE CELLULAR ALGEBRAS

M. Ehrig; D. Tubbenhauer

doi:10.1007/s00031-019-09544-5

RELATIVE CELLULAR ALGEBRAS

M. Ehrig^*, D. Tubbenhauer

^*Corresponding author for this work

School of Mathematics and Statistics

University of Zurich

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	229-277
Number of pages	49
Journal	Transformation Groups
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/s00031-019-09544-5
Publication status	Published - Mar 2021

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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

Abstract

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