BPS states, conserved charges and centres of symmetric group algebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2020)146
Abstract: In N $$ \mathcal{N} $$ = 4 SYM with U( N ) gauge symmetry, the multiplicity of half-BPS states with fixed dimension can be labelled by Young diagrams and can be distinguished using conserved charges… read more here.
Keywords: centres symmetric; group algebras; symmetric group; bps states ... See more keywords
Reinvestigation of quantum dot symmetry: the symmetric group of the 8-band k⋅p theory Hamiltonian
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nanoparticle Research"
DOI: 10.1007/s11051-018-4448-3
Abstract: Self-assembled semiconductor quantum dots, usually formed in pyramid or lens shapes, have an intrinsic geometric symmetry. However, the geometric symmetry of a quantum dot is not identical to the symmetry of the associated Hamiltonian. It… read more here.
Keywords: double group; c2v; group; band ... See more keywords
The Symmetric Group Action on Rank-selected Posets of Injective Words
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DOI: 10.1007/s11083-016-9417-9
Abstract: The symmetric group Sn$\mathfrak {S}_{n}$ acts naturally on the poset of injective words over the alphabet {1, 2,…,n}. The induced representation on the homology of this poset has been computed by Reiner and Webb. We… read more here.
Keywords: injective words; rank selected; group action; symmetric group ... See more keywords
Deligne categories and representations of the infinite symmetric group
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DOI: 10.1016/j.aim.2019.01.041
Abstract: We establish a connection between two settings of representation stability for the symmetric groups $S_n$ over $\mathbb{C}$. One is the symmetric monoidal category ${\rm Rep}(S_{\infty})$ of algebraic representations of the infinite symmetric group $S_{\infty} =… read more here.
Keywords: representations infinite; rep; underline rep; infinite symmetric ... See more keywords
Characters and invariant random subgroups of the finitary symmetric group
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DOI: 10.1016/j.aim.2022.108272
Abstract: We will describe the relationship between the indecomposable characters of the finitary symmetric group and its ergodic invariant random subgroups; and we will interpret each Thoma character as an asymptotic limit of a naturally associated… read more here.
Keywords: random subgroups; finitary symmetric; characters invariant; symmetric group ... See more keywords
A Symmetric Group Method for Controllability Characterization of Bilinear Systems on the Special Euclidean Group
Sign Up to like & getrecommendations! Published in 2019 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2019.11.815
Abstract: Abstract Bilinear systems form models of wide-ranging applications in diverse areas of engineering and natural sciences. Investigating fundamental properties of such systems has been a prosperous subject of interest and remains essential toward the advancement… read more here.
Keywords: euclidean group; special euclidean; group; bilinear systems ... See more keywords
On the partitions associated with the smallest eigenvalues of certain Cayley graphs on symmetric group generated by cycles
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DOI: 10.1016/j.laa.2021.08.001
Abstract: Abstract Let S n be the symmetric group on [ n ] = { 1 , 2 , … , n } and Z n ( s ) = { α ∈ S n :… read more here.
Keywords: smallest eigenvalues; eigenvalues certain; symmetric group; associated smallest ... See more keywords
Continuous variable multimode quantum states via symmetric group velocity matching
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DOI: 10.1088/1367-2630/abef96
Abstract: Configurable and scalable continuous variable (CV) quantum networks for measurement-based quantum information protocols or multipartite quantum communication schemes can be obtained via parametric down conversion (PDC) in non-linear waveguides. In this work, we exploit symmetric… read more here.
Keywords: quantum; continuous variable; group velocity; velocity matching ... See more keywords
An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498819502347
Abstract: Several elementary properties of the symmetric group [Formula: see text] extend in a nice way to the full transformation monoid [Formula: see text] of all maps of the set [Formula: see text] into itself. The… read more here.
Keywords: properties symmetric; pretorsion theory; symmetric group; formula see ... See more keywords
A Noise-Tolerant Audio Encryption Framework Designed by the Application of S8 Symmetric Group and Chaotic Systems
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/5554707
Abstract: The recent decade has witnessed an exponential surge of digital content, especially multimedia and its applications. The security requirements of these innovative platforms necessitate the significance of enhancing advanced encryption schemes. In this paper, a… read more here.
Keywords: audio encryption; security; scheme; application ... See more keywords
The integer group determinants for the symmetric group of degree four
Sign Up to like & getrecommendations! Published in 2019 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj-2019-49-4-1293
Abstract: For the symmetric group $S_4$ we determine all the integer values taken by its group determinant when the matrix entries are integers. read more here.
Keywords: group degree; integer group; group; determinants symmetric ... See more keywords