Results 31 to 40 of about 3,007,169 (162)
Noncommutative symmetric functions and Lagrange inversion
Advances in Applied Mathematics, 2008 22 pages, 8 figures ...
Novelli, Jean-Christophe +1 more
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The Polarization Theorem and Polynomial Identities for Matrix Functions
Известия Иркутского государственного университета: Серия "Математика", 2017 In this article the simple combinatorial proof of the known polarization theorem (about the restoration of a polyadditive symmetric function over its values on a diagonal) is given.
G.P. Egorychev
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NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS [PDF]
International Journal of Algebra and Computation, 2002 This article is devoted to the study of several algebras related to symmetric functions, which admit linear bases labelled by various combinatorial objects: permutations (free quasi-symmetric functions), standard Young tableaux (free symmetric functions) and packed integer matrices (matrix quasi-symmetric functions).
Duchamp, G. +2 more
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Hasse-Schmidt Derivations and the Hopf Algebra of Non-Commutative Symmetric Functions
Axioms, 2012 Let NSymm be the Hopf algebra of non-commutative symmetric functions (in an infinity of indeterminates): . It is shown that an associative algebra A with a Hasse-Schmidt derivation ) on it is exactly the same as an NSymm module algebra. The primitives of
Michiel Hazewinkel
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Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation
Известия Иркутского государственного университета: Серия "Математика", 2018 Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
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Symmetric functions of two noncommuting variables [PDF]
Journal of Functional Analysis, 2014 We prove a noncommutative analogue of the fact that every symmetric analytic function of $(z,w)$ in the bidisc $\D^2$ can be expressed as an analytic function of the variables $z+w$ and $zw$. We construct an analytic nc-map $S$ from the biball to an infinite-dimensional nc-domain $Ω$ with the property that, for every bounded symmetric function $\ph$ of
Agler J, Young NJ
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Symmetric Functions, Noncommutative Symmetric Functions And Quasisymmetric Functions II
Acta Applicandae Mathematicae, 2003 This is part two of this survey; to appear in Acta. Appl. Math. The first part appeared in Acta Appl. Math 75 (2003), 55-93 and is also 'arXived'.
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Noncommutative symmetric functions and skewing operators [PDF]
, 2023 Skewing operators play a central role in the symmetric function theory because of the importance of the product structure of the symmetric function space.
Hwang, Byung-Hak
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Odd Jacobi Manifolds and Loday-Poisson Brackets
Journal of Mathematics, 2014 We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
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Smoothed one-core and core–multi-shell regular black holes
European Physical Journal C: Particles and Fields, 2018 We discuss the generic properties of a general, smoothly varying, spherically symmetric mass distribution $$\mathcal {D}(r,\theta )$$ D(r,θ) , with no cosmological term ($$\theta $$ θ is a length scale parameter).
Mustapha Azreg-Aïnou
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