Results 11 to 20 of about 12,641,387 (374)

Identical Particles and Permutation Group [PDF]

open access: yesJournal of Physics A: Mathematical and General, 1994
Second quantization is revisited and creation and annihilation operators areshown to be related, on the same footing both to the algebra h(1), and to the superalgebra osp(1|2) that are shown to be both compatible with Bose and Fermi statistics. The two
Celeghini E   +10 more
core   +5 more sources

On permutation groups [PDF]

open access: bronzeAnnali di Matematica Pura ed Applicata, 1968
Diese Arbeit versucht, die Theorie der Permutationsgruppen vom « kategoriellen » Standpunkt aus zu betrachten. Es werden in naheliegender Weise der Begriff der Permutationsstruktur und der Begriff des Homomorphismus einer Permutationsstruktur eingefuhrt (Abschnitt 1).
Olaf Tamaschke
openalex   +3 more sources

Modeling Quantum Behavior in the Framework of Permutation Groups

open access: yesEPJ Web of Conferences, 2018
Quantum-mechanical concepts can be formulated in constructive finite terms without loss of their empirical content if we replace a general unitary group by a unitary representation of a finite group.
Kornyak Vladimir
doaj   +3 more sources

Permutation Statistics on the Alternating Group [PDF]

open access: yesAdvances in Applied Mathematics, 2003
Let $A_n\subseteq S_n$ denote the alternating and the symmetric groups on $1,...,n$. MacMahaon's theorem, about the equi-distribution of the length and the major indices in $S_n$, has received far reaching refinements and generalizations, by Foata ...
Regev, Amitai, Roichman, Yuval
core   +4 more sources

The Cycle Polynomial of a Permutation Group [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2017
The cycle polynomial of a finite permutation group $G$ is the generating function for the number of elements of $G$ with a given number of cycles: \[F_G(x) = \sum_{g\in G}x^{c(g)},\] where $c(g)$ is the number of cycles of $g$ on $\Omega$.
P. Cameron, Jason Semeraro
semanticscholar   +4 more sources

Permutation Polytopes of Cyclic Groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
We investigate the combinatorics and geometry of permutation polytopes associated to cyclic permutation groups, i.e., the convex hulls of cyclic groups of permutation matrices.
Barbara Baumeister   +3 more
doaj   +4 more sources

The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 [PDF]

open access: yesInternational Journal of Group Theory, 2021
We calculate the character table of a sharply $5$-transitive subgroup of $\alter(12)$‎, ‎and of a sharply $4$-transitive subgroup of $\alter(11)$‎. ‎Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu
Nick Gill, Sam Hughes
doaj   +1 more source

Indecomposable involutive solutions of the Yang–Baxter equation of multipermutational level 2 with abelian permutation group [PDF]

open access: yesForum mathematicum, 2020
We present a construction of all finite indecomposable involutive solutions of the Yang–Baxter equation of multipermutational level at most 2 with abelian permutation group.
P. Jedlička   +2 more
semanticscholar   +1 more source

ON THE HEIGHT AND RELATIONAL COMPLEXITY OF A FINITE PERMUTATION GROUP [PDF]

open access: yesNagoya mathematical journal, 2020
Let G be a permutation group on a set $\Omega $ of size t. We say that $\Lambda \subseteq \Omega $ is an independent set if its pointwise stabilizer is not equal to the pointwise stabilizer of any proper subset of $\Lambda $ .
Nick Gill, Bianca Lod'a, Pablo Spiga
semanticscholar   +1 more source

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