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Journal article
Critical groups for Hopf algebra modules
Mathematical proceedings of the Cambridge Philosophical Society, v 168(3), pp 473-503
01 May 2020
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Abstract
This paper considers an invariant of modules over a finite-dimensional Hopf algebra, called the critical group. This generalises the critical groups of complex finite group representations studied in [1, 11]. A formula is given for the cardinality of the critical group generally, and the critical group for the regular representation is described completely. A key role in the formulas is played by the greatest common divisor of the dimensions of the indecomposable projective representations.
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Details
- Title
- Critical groups for Hopf algebra modules
- Creators
- Darij Grinberg - University of Minnesota SystemJia Huang - University of Nebraska at KearneyVictor Reiner - University of Minnesota System
- Publication Details
- Mathematical proceedings of the Cambridge Philosophical Society, v 168(3), pp 473-503
- Publisher
- Cambridge Univ Press
- Number of pages
- 31
- Grant note
- DMS-1148634; 1601961 / NSF; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000527961800004
- Scopus ID
- 2-s2.0-85056298535
- Other Identifier
- 991021862367104721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics