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In this paper, we prove that there is a natural equivalence between the category ${\scr F}_1(x)$ of Koszul modules of complexity $1$ with filtration of given cyclic modules as the factor modules of an...
The exterior algebra and `Spin' of an orthogonal g-module
exterior algebra Spin' an orthogonal g-module
2010/11/1
A well-known result of Kostant gives a description of the G-module structure for the exterior algebra of Lie algebra $\frak g$. We give a generalization of this result for the isotropy representation...