Results 91 to 100 of about 72,094 (282)

Affine Lie algebras and the Virasoro algebra I

Japanese journal of mathematics. New series, 1986
A natural Lie algebra structure is obtained for a 2-dimensional central extension of an affine Lie algebra and its natural derivations. Moreover highest weight modules are extended, which induce representations for the Virasoro algebra embedded. Some applications are discussed, like characterization of homogeneous \(\tau\)-functions and intertwining ...
openaire   +3 more sources

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

The Extended Symmetry Lie Algebra and the Asymptotic Expansion of the Transversal Correlation Function for the Isotropic Turbulence

Advances in Mathematical Physics, 2013
The extended symmetry of the functional of length determined in an affine space K3 of the correlation vectors for homogeneous isotropic turbulence is studied.
V. N. Grebenev, A. N. Grishkov, M. Oberlack   +2 more
doaj   +1 more source

Integrable boundary conditions in the antiferromagnetic Potts model

Journal of High Energy Physics, 2020
We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine D 2 2 $$ {D}_2^2 $$ Lie algebra.
Niall F. Robertson, Michal Pawelkiewicz, Jesper Lykke Jacobsen, Hubert Saleur   +3 more
doaj   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

The unification in an su ̂ 8 k U = 1 $$ \hat{su}{(8)}_{k_U=1} $$ affine Lie algebra

Journal of High Energy Physics
A flavor-unified theory based on the simple Lie algebra of su $$ \mathfrak{su} $$ (8) was previously proposed to generate the observed three-generational Standard Model quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern due to
Ning Chen, Zhanpeng Hou, Zhaolong Teng
doaj   +1 more source

Definition and Computation of Tensor‐Based Generalized Function Composition

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT Model reduction is an active research field to construct low‐dimensional surrogate models of high fidelity to accelerate engineering design cycles. In this work, we investigate model reduction for linear structured systems using dominant reachable and observable subspaces.
Celine Reddig, Pawan Goyal, Igor Pontes Duff, Peter Benner   +3 more
wiley   +1 more source

On infinitesimal transformations of Weil bundles as solutions of differential equation for Lie derivative of complete lift connection

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The study of infinitesimal affine transformation of bundles over Weil algebra is one of the important problems in the theory of these bundles.
Konstantin M. Budanov
doaj   +1 more source

Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets

International Journal of Robust and Nonlinear Control, Volume 36, Issue 1, Page 428-438, 10 January 2026.
ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley   +1 more source