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Polynomial Cohomology and Polynomial Map...
Kyed, David...

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Polynomial Cohomology and Polynomial Maps on Nilpotent Groups by Kyed, David ( Author )
Lemonjar Open Access
N.A
13-03-2015
We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in terms of ordinary cohomology with polynomial coefficients, and that the degree one polynomial cohomology with trivial coefficients admits a description directly in terms of polynomials. Lastly, we give a complete description of the polynomials on a connected, simply connected nilpotent Lie group by showing that these are exactly the maps that pull back to classical polynomials via the exponential map.
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MYR 0.00
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https://arxiv.org/abs/1503.04068
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