Spectrum generating on twistor bundle
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| 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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