Results 21 to 30 of about 916 (94)
The ring of multisymmetric functions [PDF]
, 2004 Let R be a commutative ring and let n,m be two positive integers. Let be the polynomial ring in m x n commuting independent variables R. The symmetric group on n letters acts diagonally on A(n,m).
Vaccarino, Francesco
core +4 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
On the Jordan decomposition of tensored matrices of Jordan canonical forms [PDF]
, 2008 Let k be an algebraically closed field of characteristic p \ge 0. We shall consider the problem of finding out a Jordan canonical form of J(\alpha,s) \otimes_{k} J(\beta,t), where J(\alpha,s) means the Jordan block with eigenvalue \alpha \in k and size s.
Iima, Kei-ichiro, Iwamatsu, Ryo
core +2 more sources
Some Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions [PDF]
, 2009 This paper proves a generalization of a conjecture of Guoniu Han, inspired originally by an identity of Nekrasov and Okounkov. The main result states that certain sums over partitions p of n, involving symmetric functions of the squares of the hook ...
A. Lascoux +7 more
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Forum of Mathematics, SigmaSchubert polynomials are polynomial representatives of Schubert classes in the cohomology of the complete flag variety and have a combinatorial formulation in terms of bumpless pipe dreams.
Tuong Le +4 more
doaj +1 more source
Forum of Mathematics, SigmaWe prove a new tableaux formula for the symmetric Macdonald polynomials $P_{\lambda }(X;q,t)$ that has considerably fewer terms and simpler weights than previously existing formulas. Our formula is a sum over certain sorted non-attacking tableaux,
Olya Mandelshtam
doaj +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
wiley +1 more source
Use of a Cytobrush for Sampling the Ear Canal of Dogs With Otitis Externa
Veterinary Dermatology, Volume 37, Issue 2, Page 227-235, April 2026.Cytological examination of the ear canal is essential for evaluating dogs with otitis externa (OE). The conventional sampling method uses a swab. However, the cytobrush (gynaecological cervical brush), already used for cytological collection from other anatomical sites, has not been adequately investigated for this purpose in dogs with OE.
Nicoly Radaeli Atanasio +3 more
wiley +1 more source
Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004 We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley +1 more source
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
doaj +1 more source