Papers by Jennifer Wagner
Electronic Journal of Combinatorics, Jul 9, 2009
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arXiv (Cornell University), Sep 12, 2006
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arXiv (Cornell University), Sep 16, 2012
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The Electronic Journal of Combinatorics, 2004
A $\lambda$-ring version of a Frobenius characteristic for groups of the form $G \wr S_n$ is give... more A $\lambda$-ring version of a Frobenius characteristic for groups of the form $G \wr S_n$ is given. Our methods provide natural analogs of classic results in the representation theory of the symmetric group. Included is a method decompose the Kronecker product of two irreducible representations of $G\wr S_n$ into its irreducible components along with generalizations of the Murnaghan-Nakayama rule, the Hall inner product, and the reproducing kernel for $G\wr S_n$.
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The Electronic Journal of Combinatorics, 2009
Let $I_n$ be the ideal of all algebraic relations on the slopes of the ${n\choose2}$ lines formed... more Let $I_n$ be the ideal of all algebraic relations on the slopes of the ${n\choose2}$ lines formed by placing $n$ points in a plane and connecting each pair of points with a line. Under each of two natural term orders, the ideal of $I_n$ is generated by monomials corresponding to permutations satisfying a certain pattern-avoidance condition. We show bijectively that these permutations are enumerated by the updown (or Euler) numbers, thereby obtaining a formula for the number of generators of the initial ideal of $I_n$ in each degree.
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Journal of Combinatorial Theory, Series A, 2008
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Advances in Applied Mathematics, 2003
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Graphs and Combinatorics, 2014
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Journal of Combinatorial Theory, Series …, Jan 1, 2008
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Papers by Jennifer Wagner