Admissible Coalgebras and Non-cosemisimple Hopf Algebras
Abstract
In this paper, we give several necessary conditions for non-cosemisimple coalgebras being admissible. The implications simplify the classification problems for Hopf algebras of dimension 45, 105 and a few others.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2018
- DOI:
- 10.48550/arXiv.1809.03342
- arXiv:
- arXiv:1809.03342
- Bibcode:
- 2018arXiv180903342F
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:1509.05837