Unbounding Ext

Details Unbounding Ext Unbounding Ext

2011-01-15

arxiv.org/abs/1101.3004v1

Mathematics

Representation Theory

12 pages

Scientific paper

We produce examples in the cohomology of algebraic groups which answer two
questions of Parshall and Scott. Specifically, if $G=SL_2$, then we show: (a)
$\dim \Ext_G^2(L,L)$ can be arbitrarily large for a simple module $L$; and (b)
the sequence $\max_{L-\text{irred}}\dim H^k(G,L)$ grows exponentially fast with
$k$.

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