Homological Integral of Hopf Algebras
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
The left and right homological integrals are introduced for a large class of infinite dimensional Hopf algebras. Using the homological integrals we prove a version of Maschke's theorem for infinite dimensional Hopf algebras. The generalization of Maschke's theorem and homological integrals are the keys to study noetherian regular Hopf algebras of Gelfand-Kirillov dimension one.
Keywords
Cite
@article{arxiv.math/0510646,
title = {Homological Integral of Hopf Algebras},
author = {D. -M. Lu and Q. -S. Wu and J. J. Zhang},
journal= {arXiv preprint arXiv:math/0510646},
year = {2007}
}
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30 pages