Search Results - "Berget, Andrew"

A type B analog of the Lie representation by Berget, Andrew

“…We describe a type B analog of the much studied Lie representation of the symmetric group. The nth Lie representation of Sn restricts to the regular…”
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Extending the parking space by Berget, Andrew, Rhoades, Brendon

“…The action of the symmetric group $S_n$ on the set $\mathrm{Park}_n$ of parking functions of size $n$ has received a great deal of attention in algebraic…”
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Invariants of vector configurations by Berget, Andrew, Fink, Alex

“…We investigate the Zariski closure of the projective equivalence class of a matrix. New results are presented regarding the matrices in this variety and their…”
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Equivariant K -Theory Classes of Matrix Orbit Closures by Berget, Andrew, Fink, Alex

“…Abstract The group $G = \textrm{GL}_r(k) \times (k^\times )^n$ acts on $\textbf{A}^{r \times n}$, the space of $r$-by-$n$ matrices: $\textrm{GL}_r(k)$ acts by…”
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Tautological classes of matroids by Berget, Andrew, Eur, Christopher, Spink, Hunter, Tseng, Dennis

“…We introduce certain torus-equivariant classes on permutohedral varieties which we call “tautological classes of matroids” as a new geometric framework for…”
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Log-concavity of matroid h-vectors and mixed Eulerian numbers by Berget, Andrew, Spink, Hunter, Tseng, Dennis

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Correction to: EQUIVARIANT CHOW CLASSES OF MATRIX VARIETIES by BERGET, ANDREW, FINK, ALEX

“…We correct two formulae in Section 5 of [BF17] in which, as published, the wrong lift of a class on a Grassmannian to the space of matrices was chosen…”
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EQUIVARIANT CHOW CLASSES OF MATRIX ORBIT CLOSURES by BERGET, ANDREW, FINK, ALEX

“…Let G be the product GL r ( C ) × ( C × ) n . We show that the G -equivariant Chow class of a G orbit closure in the space of r -by- n matrices is determined…”
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Products of linear forms and Tutte polynomials by Berget, Andrew

“…Let Δ be a finite sequence of n vectors from a vector space over any field. We consider the subspace of Sym ( V ) spanned by ∏ v ∈ S v , where S is a…”
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Equality of symmetrized tensors and the flag variety by Berget, Andrew

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Matrix orbit closures by Berget, Andrew, Fink, Alex

“…Let G be the group GL r ( C ) × ( C × ) n . We conjecture that the finely-graded Hilbert series of a G orbit closure in the space of r -by- n matrices is…”
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Critical groups of graphs with reflective symmetry by Berget, Andrew

“…The critical group of a graph is a finite Abelian group whose order is the number of spanning forests of the graph. For a graph G with a certain reflective…”
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Extending the parking space by Berget, Andrew, Rhoades, Brendon

“…The action of the symmetric group Sn on the set Parkn of parking functions of size n has received a great deal of attention in algebraic combinatorics. We…”
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A short proof of Gamas’s theorem by Berget, Andrew

“…If χ λ is the irreducible character of S n corresponding to the partition λ of n then we may symmetrize a tensor v 1 ⊗ ⋯ ⊗ v n by χ λ . Gamas’s theorem states…”
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Cyclic sieving of finite Grassmannians and flag varieties by Berget, Andrew, Huang, Jia

“…In this paper, we prove instances of the cyclic sieving phenomenon for finite Grassmannians and partial flag varieties, which carry the action of various tori…”
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The augmented external activity complex of a matroid by Berget, Andrew, Morales, Dania

“…For a matroid, we define a new simplicial complex whose facets are indexed by its independent sets. This complex contains the external activity complex as a…”
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The Critical Group of a Line Graph by Berget, Andrew, Manion, Andrew, Maxwell, Molly, Potechin, Aaron, Reiner, Victor

“…The critical group of a graph is a finite abelian group whose order is the number of spanning forests of the graph. This paper provides three basic structural…”
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Internal Zonotopal Algebras and the Monomial Reflection Groups by Berget, Andrew

“…Journal of Combinatorial Theory, Series A, 2018 The group $G(m,1,n)$ consists of $n$-by-$n$ monomial matrices whose entries are $m$th roots of unity. It is…”
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10 Years of BADMath by Beck, Matthias, Berget, Andrew, Sanyal, Raman, Vazirani, Monica, Veomett, Ellen

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Equivariant K-theory classes of matrix orbit closures by Berget, Andrew, Fink, Alex

“…The group $G = GL_r(k) \times (k^\times)^n$ acts on $\mathbf{A}^{r \times n}$, the space of $r$-by-$n$ matrices: $GL_r(k)$ acts by row operations and…”
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