| Title:
|
Generalized Verma module homomorphisms in singular character (English) |
| Author:
|
Franek, Peter |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
2006 |
| Pages:
|
229-240 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the $k$-th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables. (English) |
| MSC:
|
22Exx |
| MSC:
|
58Jxx |
| idZBL:
|
Zbl 1164.22310 |
| idMR:
|
MR2322409 |
| . |
| Date available:
|
2008-06-06T22:49:32Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108029 |
| . |
| Reference:
|
[1] Cap A., Slovák J.: Parabolic geometries.preprint Zbl 1183.53002 |
| Reference:
|
[2] Eastwood M.: Conformally invariant differential operators on Minkowski space and their curved analogues.Comm. Math. Phys. bf 109 2 (1987), 207–228. Zbl 0659.53047, MR 0880414 |
| Reference:
|
[3] Goodman R., Wallach N.: Representations and invariants of the classical groups.Cambgidge University Press, Cambridge, 1998. Zbl 0901.22001, MR 1606831 |
| Reference:
|
[4] Slovák J., Souček V.: Invariant operators of the first order on manifolds with a given parabolic structure.Seminarires et congres 4, SMF, 2000, 251-276. Zbl 0998.53021, MR 1822364 |
| Reference:
|
[5] Bureš J., Souček V.: Regular spinor valued mappings.Seminarii di Geometria, Bologna 1984, ed. S. Coen, Bologna, 1986, 7–22. MR 0877529 |
| . |
