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2008 The Homotopy Lie Algebra of a Complex Hyperplane Arrangement Is Not Necessarily Finitely Presented
Jan-Erik Roos
Experiment. Math. 17(2): 129-143 (2008).

Abstract

We present a theory that produces several examples in which the homotopy Lie algebra of a complex hyperplane arrangement is not finitely presented. We also present examples of hyperplane arrangements in which the enveloping algebra of this Lie algebra has an irrational Hilbert series. This answers two questions of Denham and Suciu.

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Jan-Erik Roos. "The Homotopy Lie Algebra of a Complex Hyperplane Arrangement Is Not Necessarily Finitely Presented." Experiment. Math. 17 (2) 129 - 143, 2008.

Information

Published: 2008
First available in Project Euclid: 19 November 2008

zbMATH: 1191.16009
MathSciNet: MR2433880

Subjects:
Primary: 16E05 , 52C35
Secondary: 16S37 , 55P62

Keywords: homotopy Lie algebra , hyperplane arrangement , Yoneda Ext-algebra

Rights: Copyright © 2008 A K Peters, Ltd.

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Vol.17 • No. 2 • 2008
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