Results 11 to 20 of about 6,693 (226)
Algebraic basis of the algebra of block-symmetric polynomials on $\ell_1 \oplus \ell_{\infty}$
Karpatsʹkì Matematičnì Publìkacìï, 2019 We consider so called block-symmetric polynomials on sequence spaces $\ell_1\oplus \ell_{\infty}, \ell_1\oplus c, \ell_1\oplus c_0,$ that is, polynomials which are symmetric with respect to permutations of elements of the sequences.
V.V. Kravtsiv
doaj +1 more source
Vanishing Results for Hall-Littlewood Polynomials [PDF]
, 2012 It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
core +1 more source
Singular polynomials from orbit spaces [PDF]
, 2012 We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
core +1 more source
ON GENERALIZATIONS OF THE HILBERT NULLSTELLENSATZ FOR INFINITY DIMENSIONS (A SURVEY)
Journal of Vasyl Stefanyk Precarpathian National University, 2015 The paper contains a proof of Hilbert Nullstellensatz for the polynomials oninfinite-dimensional complex spaces and for a symmetric and a block-symmetric polynomials.
V.V. Kravtsiv
doaj +1 more source
Newton polytope of good symmetric polynomials [PDF]
, 2023 We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property.
Dang Tuan, Hiep +7 more
core +3 more sources
Representation of spectra of algebras of block-symmetric analytic functions of bounded type
Karpatsʹkì Matematičnì Publìkacìï, 2016 The paper contains a description of symmetric convolution of the algebra of block-symmetric analytic functions of bounded type on $\ell_{1}$-sum of the space $\mathbb{C}^{2}.$ We show that the specrum of such algebra does not coincide of point evaluation
V.V. Kravtsiv, A.V. Zagorodnyuk
doaj +1 more source
Unusual square roots in the ghost-free theory of massive gravity
Journal of High Energy Physics, 2017 A crucial building block of the ghost free massive gravity is the square root function of a matrix. This is a problematic entity from the viewpoint of existence and uniqueness properties. We accurately describe the freedom of choosing a square root of a (
Alexey Golovnev, Fedor Smirnov
doaj +1 more source
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
core +1 more source
Stanley's character polynomials and coloured factorisations in the symmetric group
, 2008 In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of ...
Rattan, Amarpreet, Rattan, A.
core +1 more source
The equivalence of two graph polynomials and a symmetric function
, 2009 The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD +5 more
core +1 more source