Results 11 to 20 of about 1,099,967 (179)
Immaculate basis of the non-commutative symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric ...
Chris Berg +4 more
doaj +1 more source
Weakly symmetric functions on spaces of Lebesgue integrable functions
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this work, we present the notion of a weakly symmetric function. We show that the subset of all weakly symmetric elements of an arbitrary vector space of functions is a vector space.
T.V. Vasylyshyn, V.A. Zahorodniuk
doaj +1 more source
Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Nathaniel Thiem
doaj +1 more source
NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.
Jean-Gabriel Luque, Jean-Yves Thibon
doaj +1 more source
Infinite log-concavity: developments and conjectures [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Given a sequence $(a_k)=a_0,a_1,a_2,\ldots$ of real numbers, define a new sequence $\mathcal{L}(a_k)=(b_k)$ where $b_k=a_k^2-a_{k-1}a_{k+1}$. So $(a_k)$ is log-concave if and only if $(b_k)$ is a nonnegative sequence. Call $(a_k)$ $\textit{infinitely log-
Peter R. W. McNamara, Bruce E. Sagan
doaj +1 more source
The Murnaghan―Nakayama rule for k-Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions.
Jason Bandlow +2 more
doaj +1 more source
Symmetric Busemann functions [PDF]
Pacific Journal of Mathematics, 2001 A result connecting symmetric spaces on one hand and symmetry of Busemann functions and the co-ray relation on the other is proved. This result is applied to hyperbolic and Minkowski geometries.
openaire +2 more sources
Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
doaj +1 more source
Noncommutative Symmetrical Functions
Advances in Mathematics, 1995 This paper presents a noncommutative theory of symmetric functions, based on the notion of quasi-determinant. We begin with a formal theory, corresponding to the case of symmetric functions in an infinite number of independent variables. This allows us to endow the resulting algebra with a Hopf structure, which leads to a new method for computing in ...
Gelfand, Israel M. +5 more
openaire +3 more sources
SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS
Проблемы анализа, 2018 In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems
Shishkin A . V .
doaj +1 more source