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.
Original language | English (US) |
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Pages (from-to) | 473-503 |
Number of pages | 31 |
Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
Volume | 168 |
Issue number | 3 |
DOIs | |
State | Published - 2020 |
ASJC Scopus subject areas
- Mathematics(all)