A generalization of the Bott-Borel-Weil theorem and Euler number multiplets of representations

Letters in Mathematical Physics

Volumn 52, Issue 1, 2000, Pages 61-78

  Kostant, Bertram ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Bott Borel Weil theorem; Dirac operator; Euler number multiplets; Nilpotent Lie algebra cohomology; Representation theory; Sheaf cohomology; Spin representation

Indexed keywords

EID: 0012968948     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007653819322     Document Type: Article

References (4)

1. Bott, R.: Homogeneous vector bundles, Ann. of Math. 66 (1957), 203-248.
2. Kostant, B.: Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. 74 (1961), 329-387.
3. Kostant, B.: A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups, Duke Math. J. 100 (1999), 447-501.
4. Schmid, W.: The mathematical legacy of the paper 'Homogeneous Vector Bundles', In: Raoul Bott: Collected Papers, Topology and Lie Groups, Vol. 1. Birkhäuser, Boston, 1994, pp. 40-47.