Results 91 to 100 of about 66,909 (247)
On affine motions with one-dimensional orbits in common spaces of paths
The concept of a common path space was introduced by J. Duqlas. M. S. Knebelman was the first to consider affine and projective movements in these spaces. The general path space is a generalization of the space of affine connectivity.
N. D. Nikitin, O. G. Nikitina
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Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
The KdV hierarchy is a paradigmatic example of the rich mathematical structure underlying integrable systems and has far-reaching connections in several areas of theoretical physics.
Ysla F. Adans +4 more
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Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
Quantum Integrable Model of an Arrangement of Hyperplanes
The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra.
Alexander Varchenko
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Arithmetic sparsity in mixed Hodge settings
Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
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Affine Lie algebras and the Virasoro algebra I
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 +4 more sources
A note on the cohomology of moduli spaces of local shtukas
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
Integrable boundary conditions in the antiferromagnetic Potts model
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 +3 more
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Corn cob pyrolysis: A systematic literature review of methods and applications
Mapping the research landscape of corn cob pyrolysis. Abstractas The agricultural sector is experiencing a surge in waste generation due to population growth, creating an urgent need to convert byproducts into value‐added products. Maize (Zea mays L.), a leading global crop, produces significant byproducts, such as corn cob, which are often undervalued.
Vilmar Steffen +5 more
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The unification in an su ̂ 8 k U = 1 $$ \hat{su}{(8)}_{k_U=1} $$ affine Lie algebra
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
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