Results 1 to 10 of about 68 (68)
Skew characters and cyclic sieving
Forum of Mathematics, Sigma, 2021 In 2010, Rhoades proved that promotion on rectangular standard Young tableaux, together with the associated fake-degree polynomial, provides an instance of the cyclic sieving phenomenon.
Per Alexandersson +3 more
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Crystal structures on FFLV polytopes [PDF]
, 2021 In this paper we formulate a conjecture about the crystal structures on Feigin--Fourier--Littelmann--Vinberg (FFLV) polytopes and prove it in small rank examples.
Fang, Xin, Koshevoy, Gleb
core +1 more source
Forum of Mathematics, Sigma, 2023 We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between the Specht and $\operatorname {SL}_2$ -web bases of the irreducible
Byung-Hak Hwang +2 more
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A horizontal-strip LLT polynomial is determined by its weighted graph [PDF]
, 2023 We prove that two horizontal-strip LLT polynomials are equal if the associated weighted graphs defined by the author in a previous paper are isomorphic.
Tom, Foster
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A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials [PDF]
, 2021 In recent years, Alexandersson and others proved combinatorial formulas for the Schur function expansion of the horizontal-strip LLT polynomial \(G_{\boldsymbol\lambda}(\boldsymbol x;q)\) in some special cases. We associate a weighted graph \(\Pi\) to \(\
Tom, Foster
core +1 more source
A combinatorial basis for the fermionic diagonal coinvariant ring [PDF]
, 2023 Let \(\Theta_n = (\theta_1, \dots, \theta_n)\) and \(\Xi_n = (\xi_1, \dots, \xi_n)\) be two lists of \(n\) variables and consider the diagonal action of \(\mathfrak{S}_n\) on the exterior algebra \(\wedge \{ \Theta_n, \Xi_n \}\) generated by these ...
Kim, Jesse
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Rheumatoid Arthritis–Specific Autoimmunity in the Lung Before and at the Onset of Disease
Arthritis &Rheumatology, Volume 75, Issue 11, Page 1910-1922, November 2023., 2023 Objective The lung is implicated as a site for breach of tolerance prior to onset of seropositive rheumatoid arthritis (RA). To substantiate this, we investigated lung‐resident B cells in bronchoalveolar lavage (BAL) samples from untreated early RA patients and anti–citrullinated protein antibody (ACPA)–positive individuals at risk for developing RA ...
Vijay Joshua +14 more
wiley +1 more source
Veterinary Dermatology, Volume 33, Issue 1, Page 17-e6, February 2022., 2022 Background – Because of the increased incidence of multidrug‐resistant (MDR) bacteria, the use of disinfectants over antibiotics has been encouraged. However, the interactions between disinfectants and host local immunity are poorly understood. Objective – To assess the effects of chlorhexidine digluconate (Chx), with and without selected host defence ...
Domenico Santoro +3 more
wiley +1 more source
A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
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Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 This is the first of three papers that develop structures which are counted by a "parabolic" generalization of Catalan numbers. Fix a subset R of {1,..,n-1}. Consider the ordered partitions of {1,..,n} whose block sizes are determined by R. These are the
Robert A. Proctor, Matthew J. Willis
doaj +1 more source