Results 1 to 10 of about 58 (48)

Path tableaux and combinatorial interpretations of immanants for class functions on $S_n$ [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
Let $χ ^λ$ be the irreducible $S_n$-character corresponding to the partition $λ$ of $n$, equivalently, the preimage of the Schur function $s_λ$ under the Frobenius characteristic map.
Sam Clearman, Brittany Shelton, Mark Skandera   +2 more
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An immanant formulation of the dual canonical basis of the quantum polynomial ring [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
We show that dual canonical basis elements of the quantum polynomial ring in $n^2$ variables can be expressed as specializations of dual canonical basis elements of $0$-weight spaces of other quantum polynomial rings.
Mark Skandera, Justin Lambright
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%-Immanants and Temperley-Lieb Immanants

, 2023
42 pages, 11 ...
Lu, Frank, Ren, Kevin, Shen, Dawei, Wang, Siki   +3 more
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Immanant Conversion on Symmetric Matrices

Special Matrices, 2014
Letr Σn(C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +aB) = dχ·(
Purificação Coelho M., Duffner M. Antónia, Guterman Alexander E.   +2 more
doaj   +1 more source

The second immanant of some combinatorial matrices [PDF]

Transactions on Combinatorics, 2015
Let $A = (a_{i,j})_{1 leq i,j leq n}$ be an $n times n$ matrix where $n geq 2$. Let $dt(A)$, its second immanant be the immanant corresponding to the partition $lambda_2 = 2,1^{n-2}$.
R. B. Bapat, Sivaramakrishnan Sivasubramanian   +1 more
doaj  

Vanishing immanants

Linear Algebra and its Applications
Comment: 21 pages, 3 ...
Cheraghpour, Hassan, Kuzma, Bojan
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The Second Immanantal Polynomial for the Signless Laplacian Matrix of a Graph

Axioms
The second immanantal polynomial is one of the important directions in algebraic theory. Let M=[mij] be an n×n matrix. The second immanant of matrix M is defined as d2(M)=∑σ∈Snχ(σ)∏i=1nmiσ(i), where χ is the irreducible character of the symmetric group ...
Yafan Geng, Tingzeng Wu
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The (n-1)-th Laplacian Immanantal Polynomials of Graphs

Axioms
Let χn−1(σ) denote the irreducible character of the symmetric group Sn corresponding to the partition (n−1,1). For an n×n matrix M=(mi,j), we denote its (n−1)-th immanant by dn−1(M).
Wenwei Zhang, Tingzeng Wu, Xianyue Li
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Immanence/Imminence. Thinking About Immanence and Individuation

, 2014
The aim of this article is to compare the concept of Immanence, or rather, the definition of “plane of Immanence” as described and invented by Deleuze (and Deleuze and Guattari) with the concept of Individuation (in Simondon, but also within a long philosophical tradition from medieval philosophy to Leibniz, as discussed also by Deleuze, as it is well ...
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Immanant preserving and immanant converting maps

Linear Algebra and its Applications, 2006
An immanant, associated to an irreducible complex character \(\chi\) of symmetric group \(S_n\), is a function \(d_\chi:M_n({\mathbb F})\to {\mathbb F}\), defined by \[ d_\chi(A):=\sum_{\sigma\in S_n}\chi(\sigma)\prod^n_{i=1}a_{i\sigma(i)} \qquad\forall A=(a_{ij})\in M_n({\mathbb F}).
Purificação Coelho, M., Antónia Duffner, M.   +1 more
openaire   +1 more source