Results 21 to 30 of about 336 (128)
Symmetric functions in noncommuting variables [PDF]
Transactions of the American Mathematical Society, 2004 Consider the algebra Q<> of formal power series in countably many noncommuting variables over the rationals. The subalgebra Pi(x_1,x_2,...) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the variables and of bounded degree.
Rosas Celis, Mercedes Helena +1 more
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A possible method for non-Hermitian and Non-PT-symmetric Hamiltonian systems. [PDF]
PLoS ONE, 2014 A possible method to investigate non-Hermitian Hamiltonians is suggested through finding a Hermitian operator η+ and defining the annihilation and creation operators to be η+ -pseudo-Hermitian adjoint to each other.
Jun-Qing Li, Yan-Gang Miao, Zhao Xue
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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
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NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS [PDF]
Journal of Algebra and Its Applications, 2007 Let K, S, D be a division ring, an endomorphism and a S-derivation of K, respectively. In this setting we introduce generalized noncommutative symmetric functions and obtain Viète formula and decompositions of differential operators. W-polynomials show up naturally, their connections with P-independency, Vandermonde and Wronskian matrices are briefly ...
Delenclos, Jonathan, Leroy, André
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A Chromatic Symmetric Function in Noncommuting Variables [PDF]
Journal of Algebraic Combinatorics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gebhard, David D., Sagan, Bruce E.
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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
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Noncommutative Symmetric Functions II: Transformations of Alphabets [PDF]
International Journal of Algebra and Computation, 1997 Noncommutative analogues of classical operations on symmetric functions are investigated, and applied to the description of idempotents and nilpotents in descent algebras. It is shown that any sequence of Lie idempotents (one in each descent algebra) gives rise to a complete set of indecomposable orthogonal idempotents of each descent algebra, and ...
Krob, Daniel +2 more
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Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce explicit combinatorial interpretations for the coefficients in some of the transition matrices relating to skew Hall-Littlewood polynomials $P_{\lambda / \mu}(x;t)$ and Hivert's quasisymmetric Hall-Littlewood polynomials $G_{\gamma}(x;t ...
Nicolas Loehr +2 more
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Partitions, Rooks, and Symmetric Functions in Noncommuting Variables [PDF]
The Electronic Journal of Combinatorics, 2011 Let $\Pi_n$ denote the set of all set partitions of $\{1,2,\ldots,n\}$. We consider two subsets of $\Pi_n$, one connected to rook theory and one associated with symmetric functions in noncommuting variables. Let ${\cal E}_n\subseteq\Pi_n$ be the subset of all partitions corresponding to an extendable rook (placement) on the upper-triangular board, ${\
Mahir Bilen Can, Bruce E. Sagan
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Chromatic symmetric functions in noncommuting variables revisited [PDF]
Advances in Applied Mathematics, 2020 23 pages, final version to appear Adv.
Samantha Dahlberg +1 more
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