Results 41 to 50 of about 1,043,180 (331)
Pseudo-Riemannian Symmetries on Heisenberg groups
The notion of $\Gamma$-symmetric space is a natural generalization of the classical notion of symmetric space based on $\Z_2$-grading of Lie algebras.
Goze, Michel +2 more
core +2 more sources
Set-theoretic solutions of the Yang-Baxter equation, Braces, and Symmetric groups
We involve simultaneously the theory of matched pairs of groups and the theory of braces to study set-theoretic solutions of the Yang-Baxter equation (YBE).
Gateva-Ivanova, Tatiana
core +1 more source
The symmetric genus of alternating and symmetric groups
The symmetric genus of a finite group G has been defined by Thomas W. Tucker as the smallest genus of all surfaces on which G acts faithfully as a group of automorphisms (some of which may reverse the orientation of the surface). This note announces the symmetric genus of all finite alternating and symmetric groups.
openaire +2 more sources
On the Modular Representations of the Symmetric Group (III) [PDF]
1. Introduction. It has been observed (2) that the number of p-regular classes of Sn, i.e. the number of classes of order prime to p, is equal to the number of partitions (λ) of n in which no summand is repeated p or more times. For this relation to hold it is essential that p be prime. It seems natural to call the Young diagram [λ] associated with (λ)
openaire +11 more sources
The Graphic Nature of the Symmetric Group [PDF]
23 pages, many figures.
J. L. Brumbaugh +5 more
openaire +2 more sources
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Path tableaux and combinatorial interpretations of immanants for class functions on $S_n$ [PDF]
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 +2 more
doaj +1 more source
Structural biology of ferritin nanocages
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley +1 more source
Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n.
Dongkyu Lim, Feng Qi
doaj +1 more source

