Výsledky vyhledávání - "Vetter, Alexander"

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Characters of Renner Monoids and Their Hecke Algebras

Autor: Hardt, Andy, Marx-Kuo, Jared, McDonald, Vaughan, O'Brien, John M., Vetter, Alexander

This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook monoid. The character table of the Hecke algebra of the rook monoid (

Externí odkaz: http://arxiv.org/abs/1811.12343

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Deformations of the Weyl Character Formula for $SO(2n+1,\mathbb{C})$ via Ice Models

Autor: Alexandr, Yulia, Commins, Patricia, Embry, Alexandra, Frank, Sylvia, Li, Yutong, Vetter, Alexander

We explore combinatorial formulas for deformations of highest weight characters of the odd orthogonal group $SO(2n+1)$. Our goal is to represent these deformations of characters as partition functions of statistical mechanical models -- in particular

Externí odkaz: http://arxiv.org/abs/1811.11879

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Convolution Algebras for Finite Reductive Monoids

Autor: Marx-Kuo, Jared, McDonald, Vaughan, O'Brien, John M., Vetter, Alexander

For an arbitrary finite monoid $M$ and subgroup $K$ of the unit group of $M$, we prove that there is a bijection between irreducible representations of $M$ with nontrivial $K$-fixed space and irreducible representations of $\mathcal{H}_K$, the convol

Externí odkaz: http://arxiv.org/abs/1811.04334

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Batch Codes from Hamming and Reed-M\'uller Codes

Autor: Baumbaugh, Travis, Diaz, Yariana, Friesenhahn, Sophia, Manganiello, Felice, Vetter, Alexander

Batch codes, introduced by Ishai et al. encode a string $x \in \Sigma^{k}$ into an $m$-tuple of strings, called buckets. In this paper we consider multiset batch codes wherein a set of $t$-users wish to access one bit of information each from the ori

Externí odkaz: http://arxiv.org/abs/1710.07386

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