Results 21 to 30 of about 119 (86)
THE POLYTABLOID BASIS EXPANDS POSITIVELY INTO THE WEB BASIS
Forum of Mathematics, Sigma, 2019 We show that the transition matrix from the polytabloid basis to the web basis of the irreducible $\mathfrak{S}_{2n}$-representation of shape $(n,n)$ has nonnegative integer entries. This proves a conjecture of Russell and Tymoczko [Int. Math. Res. Not.,
BRENDON RHOADES
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An Exercise of Combinatorics and an Application to Ditalgebras
, 2016 Here we analyze a combinatoric exercise and one application to the theory of ditalgebras.
C.R. Barrios +3 more
semanticscholar +1 more source
Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
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Quasisymmetric expansions of Schur-function plethysms
, 2012 Let sμ denote a Schur symmetric function and Qα a fundamental quasisymmetric function. Explicit combinatorial formulas are developed for the fundamental quasisymmetric expansions of the plethysms sμ[sν ] and sμ[Qα], as well as for related plethysms ...
N. Loehr, Gregory S. Warrington
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Increasing subsequences, matrix loci and Viennot shadows
Forum of Mathematics, SigmaLet ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n}]$ be the polynomial ring in these variables over a field ${\mathbb {F}}$ .
Brendon Rhoades
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DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY
Forum of Mathematics, Sigma, 2015 We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive.
SAMI H. ASSAF
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Diamond Representations for Rank Two Semisimple Lie Algebras
Journal of Lie theory, 2009 The present work is a part of a larger program to construct explicit combinatorial models for the (indecomposable) regular representation of the nilpotent factor N in the Iwasawa decomposition of a semisimple Lie algebra g , using the restrictions to N ...
B. Agrebaoui, D. Arnal, O. Khlifi
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Branching rules of minuscule representations via a new partial order [PDF]
We introduce a new partial order on the set of all antichains of a fixed size in any poset. When applied to minuscule posets, these partial orders give rise to distributive lattices that appear in the branching rules for minuscule representations of ...
Green, R. M., Xu, Tianyuan
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Δ–Springer varieties and Hall–Littlewood polynomials
Forum of Mathematics, SigmaThe $\Delta $ -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo and the author that have connections to the Delta Conjecture from algebraic combinatorics.
Sean T. Griffin
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Delta and Theta Operator Expansions
Forum of Mathematics, SigmaWe give an elementary symmetric function expansion for the expressions $M\Delta _{m_\gamma e_1}\Pi e_\lambda ^{\ast }$ and $M\Delta _{m_\gamma e_1}\Pi s_\lambda ^{\ast }$ when $t=1$ in terms of what we call $\gamma $ -parking ...
Alessandro Iraci, Marino Romero
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