144,384 research outputs found
Character Formulae for Ortho-symplectic Lie Superalgebras
The character formula of any finite dimensional irreducible module
for Lie superalgebra is computed. As a
by-product, the decomposition of tensor module , where is the natural representation, is
obtained.Comment: 26 page
Generalized Verma Modules and Character Formulae for
The character formula of any finite dimensional irreducible module for Lie
superalgebra is obtained in terms of characters of
generalized Verma modules.Comment: 20 page
Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras
Hom-Lie superalgebras, which can be considered as a deformation of Lie
superalgebras, are -graded generalization of Hom-Lie algebras. In
this paper, we prove that there is only the trivial Hom-Lie superalgebra
structure over a finite-dimensional simple Lie superalgebra.Comment: 12 page
A new structure of two-dimensional allotropes of group V elements
The elemental two-dimensional (2D) materials such as graphene, silicene,
germanene, and black phosphorus have attracted considerable attention due to
their fascinating physical properties. Structurally they possess the honeycomb
or distorted honeycomb lattices, which are composed of six-atom rings. Here we
find a new structure of 2D allotropes of group V elements composed of
eight-atom rings, which we name as the octagonal tiling (OT) structure.
First-principles calculations indicate that these allotropes are dynamically
stable and are also thermally stable at temperatures up to 600 K. These
allotropes are semiconductors with band gaps ranging from 0.3 to 2.0 eV, thus
they are potentially useful in near- and mid-infrared optoelectronic devices.
OT-Bi is also a 2D topological insulator (TI) with a band gap of 0.33 eV, which
is the largest among the reported elemental 2D TIs, and this gap can be
increased further by applying compressive strains
The -Schur algebras and -Schur dualities of finite type
We formulate a -Schur algebra associated to an arbitrary -invariant
finite set of integral weights for a complex simple Lie algebra
with Weyl group . We establish a -Schur duality between the -Schur
algebra and Hecke algebra associated to . We then realize geometrically the
-Schur algebra and duality, and construct a canonical basis for the
-Schur algebra with positivity. With suitable choices of in
classical types, we recover the -Schur algebras in the literature. Our
-Schur algebras are closely related to the category , where the
type is studied in detail.Comment: v3, 33 pages, mild corrections, J. Inst. Math. Jussieu (to appear
A Simplification Method of Polymorphic Boolean Functions
Polymorphic circuits are a special kind of circuits which possess multiple
build-in functions, and these functions are activated by environment
parameters, like temperature, light and VDD. The behavior of a polymorphic
circuit can be described by a polymorphic Boolean function. For the first time,
this brief presents a simplification method of the polymorphic Boolean
function
Combination of e+/e- ratio from AMS-02 and gamma ray line from Fermi-LAT with implication for Dark Matter
The precise AMS-02 data provide definite information for the e+/e- ratio in
100 - 350 GeV region. Assuming that the recent gamma ray line observed by
Fermi-LAT experiment is product of dark matter in space and taken as input. We
make a global fit for the AMS-02 e+/e- spectrum with both dark matter and
pulsar contribution. For this spectrum over 130 GeV, pulsar is the dominant
contribution. We also investigate the constrains on hadron production from dark
matter annihilation.Comment: 11 pages, 7 figure
Generate Identity-Preserving Faces by Generative Adversarial Networks
Generating identity-preserving faces aims to generate various face images
keeping the same identity given a target face image. Although considerable
generative models have been developed in recent years, it is still challenging
to simultaneously acquire high quality of facial images and preserve the
identity. Here we propose a compelling method using generative adversarial
networks (GAN). Concretely, we leverage the generator of trained GAN to
generate plausible faces and FaceNet as an identity-similarity discriminator to
ensure the identity. Experimental results show that our method is qualified to
generate both plausible and identity-preserving faces with high quality. In
addition, our method provides a universal framework which can be realized in
various ways by combining different face generators and identity-similarity
discriminator.Comment: 9 page
The simplified weighted sum function and its average sensitivity
In this paper we simplify the definition of the weighted sum Boolean function
which used to be inconvenient to compute and use. We show that the new function
has essentially the same properties as the previous one. In particular, the
bound on the average sensitivity of the weighted sum Boolean function remains
unchanged after the simplification.Comment: 9 page
Monogamy of th Power Entanglement Measurement in Qubit Systems
In this paper, we study the th power monogamy properties related to
the entanglement measure in bipartite states. The monogamy relations related to
the th power of negativity and the Convex- Roof Extended Negativity are
obtained for N-qubit states. We also give a tighter bound of hierarchical
monogamy inequality for the entanglement of formation. We find that the GHZ
state and W state can be used to distinguish the th power the
concurrence for . Furthermore, we compare concurrence with
negativity in terms of monogamy property and investigate the difference between
them.Comment: 6 pages, 2 figure
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