A complex from linear elasticity. (English) Zbl 0965.58029

Slovák, Jan (ed.) et al., The proceedings of the 19th Winter School “Geometry and physics”, Srní, Czech Republic, January 9-15, 1999. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 63, 23-29 (2000).
Introduction: This article will present just one example of a general construction known as the Bernstein-Gelfand-Gelfand (BGG) resolution. It was the motivating example from two lectures on the BGG resolution given at the 19th Czech Winter School on Geometry and Physics held in Srní in January 1999. This article may be seen as a technical example to go with a more elementary introduction which will appear elsewhere [M. Eastwood, Notices Am. Math. Soc. 46, No. 11, 1368-1376 (1999)]. In fact, there were many lectures on various aspects of the BGG resolution given by other participants in the Winter School. In particular, A. Čap, J. Slovák and V. Souček presented their recently worked out curved analogue [BGG sequences, ESI Preprint 722] for a general parabolic geometry.
For the entire collection see [Zbl 0940.00040].


58J90 Applications of PDEs on manifolds
58A12 de Rham theory in global analysis
74B05 Classical linear elasticity