Results 11 to 20 of about 933 (63)

A note on the Grothendieck ring of the symmetric group [PDF]

, 2005
Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$.Comment: 5 ...
Bonnafé, Cédric
core   +5 more sources

Sklyanin Determinant for Reflection Algebra [PDF]

, 2010
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of Sklyanin determinant suitable for
Rozhkovskaya, Natasha
core   +3 more sources

A Spin Analogue of Kerov Polynomials [PDF]

, 2018
Kerov polynomials describe normalized irreducible characters of the symmetric groups in terms of the free cumulants associated with Young diagrams.
Matsumoto, Sho
core   +3 more sources

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
doaj   +1 more source

A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs [PDF]

, 2008
For any polynomial representation of the special linear group, the nodes of the corresponding crystal may be indexed by semi-standard Young tableaux. Under certain conditions, the standard Young tableaux occur, and do so with weight 0.
Assaf, Sami
core   +5 more sources

Lattice structure of torsion classes for path algebras [PDF]

, 2015
We consider module categories of path algebras of connected acyclic quivers. It is shown in this paper that the set of functorially finite torsion classes form a lattice if and only if the quiver is either Dynkin quiver of type A, D, E, or the quiver has
Iyama, Osamu, Reiten, Idun, Thomas, Hugh, Todorov, Gordana   +3 more
core   +2 more sources

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

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, Davide Santospirito, Andrea Sala, Sara Flisi, Simone Taddei, Sandro Cavirani, Clotilde Silvia Cabassi   +6 more
wiley   +1 more source

Increasing subsequences, matrix loci and Viennot shadows

Forum of Mathematics, Sigma
Let ${\mathbf {x}}_{n \times n}$ 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
doaj   +1 more source

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
doaj   +1 more source

Δ–Springer varieties and Hall–Littlewood polynomials

Forum of Mathematics, Sigma
The $\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
doaj   +1 more source