Abstract
Let G be a group scheme of finite type over a field, and consider the cohomology ring H *(G) with coefficients in the structure sheaf. We show that H *(G) is a free module of finite rank over its component of degree 0, and is the exterior algebra of its component of degree 1. When G is connected, we determine the Hopf algebra structure of H *(G).
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Presented by: Peter Littelmann.
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Brion, M. The Coherent Cohomology Ring of an Algebraic Group. Algebr Represent Theor 16, 1449–1467 (2013). https://doi.org/10.1007/s10468-012-9364-0
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DOI: https://doi.org/10.1007/s10468-012-9364-0