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Counterexamples to Okounkov’s log-concavity conjecture

Part of: Algebraic combinatorics Representation theory of rings and algebras

Published online by Cambridge University Press:  01 November 2007

Calin Chindris ,
Harm Derksen  and
Jerzy Weyman
Calin Chindris
Affiliation:
University of Minnesota, School of Mathematics, Minneapolis, MN 55455, USA (email: chindris@math.umn.edu)
Harm Derksen
Affiliation:
University of Michigan, Department of Mathematics, Ann Arbor, MI 48109, USA (email: hderksen@umich.edu)
Jerzy Weyman
Affiliation:
Northeastern University, Department of Mathematics, Boston, MA 02115, USA (email: j.weyman@neu.edu)
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Abstract

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We give counterexamples to Okounkov’s log-concavity conjecture for Littlewood–Richardson coefficients.

Keywords

Littlewood–Richardson coefficientssemi-invariantsquivers

MSC classification

Secondary: 16G20: Representations of quivers and partially ordered sets 05E15: Combinatorial aspects of groups and algebras
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 6 , November 2007 , pp. 1545 - 1557
Copyright
Copyright © Foundation Compositio Mathematica 2007

References

The second author was supported by NSF, grant DMS 0349019, and the third author was supported by NSF, grant DMS 0600229.