Spectrum generating on twistor bundle

Authors

HONG Doojin BRANSON Thomas

Year of publication 2006
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Education

Citation
Web http://www.emis.de/journals/AM/06-S/doojin.htm
Field General mathematics
Keywords spinors; twistors; intertwining operators
Description Spectrum generating technique introduced by Olafsson Oersted, and one of the authors in earlier paper provides an efficient way to construct certain intertwinors when $K$-types are of multiplicity at most one. Intertwinors on the twistor bundle over $S^1\times S^{n-1}$ have some $K$-types of multiplicity 2. With some additional calculation along with the spectrum generating technique, we give explicit formulas for these intertwinors of all orders.
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