Results 11 to 20 of about 1,554,075 (367)
A representation formula for indefinite improper affine spheres
, 2008 .We construct a new representation formula for indefinite improper affine spheres in terms of two para-holomorphic functions. Affie spheres which are obtained by this formula may have singularities.
Daisuke Nakajo
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On the complexified affine metaplectic representation [PDF]
Journal of Nonlinear Mathematical Physics, 2004 Abstract We study exponentiability of the infinite polynomials with maximal degree 2 of creation and annihilation operators, which give a Fock Space-representation of the complexification of the affine symplectic group.
Olé Rask
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Quantum Representation of Affine Weyl Groups and Associated Quantum Curves [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We study a quantum (non-commutative) representation of the affine Weyl group mainly of type $E_8^{(1)}$, where the representation is given by birational actions on two variables $x$, $y$ with $q$-commutation relations.
Sanefumi Moriyama, Y. Yamada
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Recurrent Affine Transform Encoder for Image Representation
IEEE Access, 2022 This paper proposes a Recurrent Affine Transform Encoder (RATE) that can be used for image representation learning. We propose a learning architecture that enables a CNN encoder to learn the affine transform parameter of images.
Letao Liu +3 more
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Affine Frequency Division Multiplexing for Next Generation Wireless Communications [PDF]
IEEE Transactions on Wireless Communications, 2022 Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier waveform for high mobility communications, is introduced here. AFDM is based on discrete affine Fourier transform (DAFT), a generalization of discrete Fourier transform, which ...
A. Bemani, N. Ksairi, M. Kountouris
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Spontaneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity [PDF]
Journal of Cosmology and Astroparticle Physics, 2022 The metric-affine bumblebee model in the presence of fermionic matter minimally coupled to the connection is studied. We show that the model admits an Einstein frame representation in which the matter sector is described by a non-minimal Dirac action ...
Adrià Delhom +5 more
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Interventional Causal Representation Learning [PDF]
International Conference on Machine Learning, 2022 Causal representation learning seeks to extract high-level latent factors from low-level sensory data. Most existing methods rely on observational data and structural assumptions (e.g., conditional independence) to identify the latent factors.
Kartik Ahuja +3 more
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On calibrated representations of the degenerate affine Periplectic Brauer algebra [PDF]
Surveys in Mathematics and its Applications, 2021 We initiate the representation theory of the degenerate affine periplectic Brauer algebra on n strands by constructing its finite-dimensional calibrated representations when n=2.
Zajj Daugherty +3 more
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Hecke group algebras as degenerate affine Hecke algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 The Hecke group algebra $\operatorname{H} \mathring{W}$ of a finite Coxeter group $\mathring{W}$, as introduced by the first and last author, is obtained from $\mathring{W}$ by gluing appropriately its $0$-Hecke algebra and its group algebra.
Florent Hivert +2 more
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An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras [PDF]
International mathematics research notices, 2018 We discover a large class of simple affine vertex algebras $V_{k} ({\mathfrak{g}})$, associated to basic Lie superalgebras ${\mathfrak{g}}$ at non-admissible collapsing levels $k$, having exactly one irreducible ${\mathfrak{g}}$-locally finite module ...
Dražen Adamović +4 more
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