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math.RA2016
Breadth and characteristic sequence of nilpotent Lie algebras
Elisabeth Remm
The notion of breadth of a nilpotent Lie algebra was introduced by B. Khuhirun, K.C. Misra and E. Stitzinger and used to approach problems of classification up to isomorphism. In t…
math.KT2016
Non-Koszulness of operads and positivity of Poincaré series
Vladimir Dotsenko, Martin Markl, Elisabeth Remm
We prove that the operad of mock partially associative -ary algebras is not Koszul, as conjectured by the second and the third author in 2009, and utilise the Zeilberger's algor…