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Displaying 21 – 40 of 108

A Deformed Quon Algebra

Hery Randriamaro (2019)

Communications in Mathematics

The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators $a_{i, k}$ , $(i, k) \in ℕ^{*} \times [m]$ , on an infinite dimensional vector space satisfying the...

A derivation of Kohnert's algorithm from Monk's rule.

Winkel, Rudolf (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

A direct bijective proof of the hook-length formula.

Novelli, Jean-Christophe, Pak, Igor, Stoyanovskii, Alexander V. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

A family of tridiagonal pairs related to the quantum affine algebra $U_{q} (\hat{{sl}_{2}})$ .

Alnajjar, Hasan, Curtin, Brian (2005)

ELA. The Electronic Journal of Linear Algebra [electronic only]

A four-class association scheme derived from a hyperbolic quadric in $PG (3, q)$ .

Fujisaki, Tatsuya (2004)

Advances in Geometry

A Frobenius formula for the characters of the Hecke algebras.

Arun Ram (1991)

Inventiones mathematicae

A generalization of an inequality involving the generalized elementary symmetric mean.

Zhang, Zhi-Hua, Xiao, Zhen-Gang (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A generalization of combinatorial Nullstellensatz.

Lasoń, Michał (2010)

The Electronic Journal of Combinatorics [electronic only]

A generalization of Jaeger-Nomura's Bose Mesner algebra associated to type II matrices

Makoto Matsumoto (1999)

Annales de l'institut Fourier

A category $N$ generalizing Jaeger-Nomura algebra associated to a spin model is given. It is used to prove some equivalence among the four conditions by Jaeger-Nomura for spin models of index 2.

A generalized major index statistic.

Assaf, Sami H. (2008)

Séminaire Lotharingien de Combinatoire [electronic only]

A geometric version of the Kerov-Kirillov-Reshetikhin construction. (Une version géométrique de la construction de Kerov-Kirilov-Reshetikhin.)

Han, Guo-Niu (1993)

Séminaire Lotharingien de Combinatoire [electronic only]

A graph-theoretic method for choosing a spanning set for a finite-dimensional vector space, with applications to the Grossman-Larson-Wright module and the Jacobian conjecture.

Singer, Dan (2009)

The Electronic Journal of Combinatorics [electronic only]

A Hessenberg generalization of the Garsia-Procesi basis for the cohomology ring of Springer varieties.

Mbirika, Aba (2010)

The Electronic Journal of Combinatorics [electronic only]

A Little bijection for affine Stanley symmetric functions.

Lam, Thomas, Shimozono, Mark (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

A Littlewood-Richardson rule for evaluation representations of $U_{q} ({\hat{𝔰𝔩}}_{n})$ .

Leclerc, Bernard (2003)

Séminaire Lotharingien de Combinatoire [electronic only]

A Macdonald vertex operator and standard tableaux statistics for the two-column $(q, t)$ -Kosta coefficients.

Zabrocki, Mike (1998)

The Electronic Journal of Combinatorics [electronic only]

A matrix representation of graphs and its spectrum as a graph invariant.

Emms, David, Hancock, Edwin R., Severini, Simone, Wilson, Richard C. (2006)

The Electronic Journal of Combinatorics [electronic only]

A minimal Set of Generators for the Ring of multisymmetric Functions

David Rydh (2007)

Annales de l’institut Fourier

The purpose of this article is to give, for any (commutative) ring $A$ , an explicit minimal set of generators for the ring of multisymmetric functions ${T S}_{A}^{d} (A [x_{1}, \dots, x_{r}]) = {(A {[x_{1}, \dots, x_{r}]}^{\otimes_{A} d})}^{𝔖_{d}}$ as an $A$ -algebra. In characteristic zero, i.e. when $A$ is a $ℚ$ -algebra, a minimal set of generators has been known since the 19th century. A rather small generating set in the general case has also recently been given by Vaccarino but it is not minimal in general. We also give a sharp degree bound on the generators, improving the degree bound previously...

A multinomial extension of an inequality of Haber.

Belbachir, Hacène (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A new class of symmetric functions.

Macdonald, I.G. (1988)

Séminaire Lotharingien de Combinatoire [electronic only]

Currently displaying 21 – 40 of 108

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