Results 11 to 20 of about 5,713 (273)
Plethysms of symmetric functions and highest weight representations [PDF]
Transactions of the American Mathematical Society, 2018 Let $s_\nu \circ s_\mu$ denote the plethystic product of the Schur functions $s_\nu$ and $s_\mu$. In this article we define an explicit polynomial representation corresponding to $s_\nu \circ s_\mu$ with basis indexed by certain `plethystic' semistandard
M. D. Boeck, Rowena Paget, M. Wildon
semanticscholar +1 more source
Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers [PDF]
, 2007 .We prove conjectures of the third author [L. Tevlin, Proc. FPSAC’07, Tianjin] on two new bases of noncommutative symmetric functions: the transition matrices from the ribbon basis have nonnegative integral coefficients.
F. Hivert +3 more
semanticscholar +1 more source
Affine transitions for involution Stanley symmetric functions [PDF]
European journal of combinatorics (Print), 2018 We study a family of symmetric functions $\hat F_z$ indexed by involutions $z$ in the affine symmetric group. These power series are analogues of Lam's affine Stanley symmetric functions and generalizations of the involution Stanley symmetric functions ...
Eric Marberg, Yifeng Zhang
semanticscholar +1 more source
Temperature and entropy–area relation of quantum matter near spherically symmetric outer trapping horizons [PDF]
Letters in Mathematical Physics, 2021 We consider spherically symmetric spacetimes with an outer trapping horizon. Such spacetimes are generalizations of spherically symmetric black hole spacetimes where the central mass can vary with time, like in black hole collapse or black hole ...
Fiona Kurpicz, N. Pinamonti, R. Verch
semanticscholar +1 more source
SYMMETRIC AND GENERATING FUNCTIONS [PDF]
International Electronic Journal of Pure and Applied Mathematics, 2014 In this paper, we calculate the generating functions by using the con- cepts of symmetric functions. Although the methods cited in previous works are in principle constructive, we are concerned here only with the question of manipulating combinatorial objects, known as symmetric op- erators.
Ali Boussayoud, Mohamed Kerada
openaire +1 more source
Hopf Algebra Structure of Generalized Quasi-Symmetric Functions in Partially Commutative Variables [PDF]
Electronic Journal of Combinatorics, 2016 We introduce a coloured generalization $\mathrm{NSym}_A$ of the Hopf algebra of non-commutative symmetric functions described as a subalgebra of the of rooted ordered coloured trees Hopf algebra.
A. Doliwa
semanticscholar +1 more source
Generating functions and companion symmetric linear functionals [PDF]
Periodica Mathematica Hungarica, 2003 In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear application in the linear space of polynomials with complex coefficients such that $$u\left({x^{2n+1}}\right)=0$$.
Esther M. García-Caballero +2 more
openaire +3 more sources
Finite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functions
Tohoku mathematical journal, 2021 We introduce entire multiple zeta functions, which are natural interpolations of symmetric multiple zeta values. Moreover we give further generalizations which interpolate these zeta functions, $\widehat{\mathcal{A}}$-finite multiple zeta values and ...
Y. Komori
semanticscholar +1 more source
Kromatic Quasisymmetric Functions [PDF]
Electronic Journal of Combinatorics, 2023 We provide a construction for the kromatic symmetric function $\overline{X}_G$ of a graph introduced by Crew, Pechenik, and Spirkl using combinatorial (linearly compact) Hopf algebras.
Eric Marberg
semanticscholar +1 more source
Invertible Quadratic Non-Linear Layers for MPC-/FHE-/ZK-Friendly Schemes over Fnp
IACR Transactions on Symmetric Cryptology, 2022 Motivated by new applications such as secure Multi-Party Computation (MPC), Fully Homomorphic Encryption (FHE), and Zero-Knowledge proofs (ZK), many MPC-, FHE- and ZK-friendly symmetric-key primitives that minimize the number of multiplications over Fp ...
Lorenzo Grassi +3 more
doaj +1 more source