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On ζn-Weyl algebra Wr(ζn, Z)

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Department of Mathematics Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Weyl algebra is an associative algebra generated by two elements â and a over R such that the generating relation is given by

âa — aâ = 1,

which is isomorphic to the algebra of differential operators

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 113 , March 1989 , pp. 153 - 159
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

[1] Deuring, M., Algebren, Springer, 1968.Google Scholar
[2] Jannussis, A., Brodinas, G., Sourlas, D., Remarks on g-Quantisation, Lett. Nuovo Cimento, 30, 123–127.CrossRefGoogle Scholar
[3] Jannussis, A., Papaloucas, L. C., Siafarkas, P. D., Eigenfunctions and Eigenvalues of the g-Differential operators Hadronic J. vol 3. 1622–1632.Google Scholar