Mathematics – Representation Theory
Scientific paper
2012-01-13
Mathematics
Representation Theory
12 pages
Scientific paper
Let G be a simple classical algebraic group over an algebraically closed
field of positive characteristic. We describe the support variety of a simple
G-module over the r-th Frobenius kernel of G, in terms of its calculation over
the first Frobenius kernel. We then use this result to compute the block
varieties of the Frobenius kernels of G.
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