Journal of Lie Theory Vol. 12, No. 2, pp. 483493 (2002) 

Casimir operators on pseudodifferential operators of several variablesMin Ho LeeMin Ho LeeDepartment of Mathematics University of Northern Iowa Cedar Falls, Iowa 50614 U.S.A. lee@math.uni.edu Abstract: We study the actions of the Lie algebra $n\slf (2,\Bbb C)$ of $SL(2, \Bbb C)^n$ and the associated Casimir operator on the space of pseudodifferential operators of $n$ variables. We describe the effect of the Casimir operator on a pseudodifferential operator in connection with the symbol map and construct an $n\slf (2,\Bbb C)$invariant lifting of the symbol map. Full text of the article:
Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.
© 2002 Heldermann Verlag
