On algebra generated by Chern-Bott forms on SLn/B
B. Shapiro, M. Shapiro
Abstract
In this short note we give an explicit presentation of the algebra An generated by the curvature 2-forms of the standard Hermitiam line bundles over SLn/B as the quotient of the polynomial ring. The difference between An and H*(SLn/B) reflects the fact that SLn/B is not a symmetric space. Possible applications of An lie in the field of arithmetic intersection theory on flag varieties.
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