Abstract
In this chapter the case (3) is almost classified by studying the remaining open case when b 3 b 10 contains two constituents and the elements b 10, b 15 are non-real. For this purpose we developed an elegant theory which enables us to generalize the Main Theorem of the book for NITA of countable dimension. The Main Theorem of this chapter almost classifies countable NITAs generated by a non-real basis element of degree 3 provided that any non-identical basis element has degree at least three.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arad, Z., Blau, H.: On table algebras and applications to finite group theory. J. Algebra 138, 137–185 (1991)
Arad, Z., Chen, G.: On four normalized table algebras generated by a faithful nonreal element of degree 3. J. Algebra 283, 457–484 (2005)
Blau, H.: Table algebras, Eur. J. of Comb. 30, 1426–1455 (2009)
Macdonald, I.G.: Symmetric Functions and Hall Polynomials, Oxford Mathematical Monographs, 2nd edn. The Clarendon Press, Oxford University Press (1995)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag London Limited
About this chapter
Cite this chapter
Arad, Z., Bangteng, X., Chen, G., Cohen, E., Haj Ihia Hussam, A., Muzychuk, M. (2011). Finishing the Proofs of the Main Results. In: On Normalized Integral Table Algebras (Fusion Rings). Algebra and Applications, vol 16. Springer, London. https://doi.org/10.1007/978-0-85729-850-8_5
Download citation
DOI: https://doi.org/10.1007/978-0-85729-850-8_5
Publisher Name: Springer, London
Print ISBN: 978-0-85729-849-2
Online ISBN: 978-0-85729-850-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)