Weil representation and Arithmetic Fundamental Lemma [PDF]
Annals of Mathematics, 2019 Final version, to appear in Ann.
Wei Zhang
semanticscholar +8 more sources
ETC Model Building in the Fundamental Representation [PDF]
Progress of Theoretical Physics Supplement, 1996 Thomas Appelquist
semanticscholar +4 more sources
A Discrete Representation of the Second Fundamental Form
Mathematics, 2022 We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form.
Alfonso Carriazo +2 more
doaj +3 more sources
Dark matter from a vector field in the fundamental representation of
Physical Review D, 2019 We explore an extension to the Standard Model which incorporates a vector field in the fundamental representation of SU(2)L as the only nonstandard degree of freedom. This kind of field may appear in different scenarios such as compositeness, gauge-Higgs
Bastián Díaz Sáez +2 more
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On the representation of a certain fundamental law of probability [PDF]
Transactions of the American Mathematical Society, 1925 gives, to within infinitesimals of higher order, the probability that the sum of n elements each taken at random from a given range 0 to a (a 0) of uniform distribution, will fall into the interval x to x + dx. Laplace applied the above formula to the historic problem+ of finding the probability that the inclinations of the orbits of the ten planets ...
H. L. Rietz
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On the fundamental representation of borcherds algebras with one imaginary simple root [PDF]
, 1994 Borcherds algebras represent a new class of Lie algebras which have almost all the properties that ordinary Kac-Moody algebras have, but the only major difference is that these generalized Kac-Moody algebras are allowed to have imaginary simple roots ...
Reinhold W. Gebert, J�rg Teschner
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Explicit computation of the Drinfeld associator in the case of the fundamental representation ofgl(N) [PDF]
, 2012 We solve the regularized Knizhnik–Zamolodchikov equation and find an explicit expression for the Drinfeld associator. We restrict ourselves to the case of the fundamental representation of gl(N). Several tests of the results are presented.
Petr Dunin‐Barkowski +2 more
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Fundamental Solution of the Volkov Problem (Characteristic Representation) [PDF]
Journal of Nonlinear Mathematical Physics, 1998 The characteristic representation, or Goursat problem, for the Klein-Fock-Gordon equation with Volkov interaction [1] is regarded. It is shown that in this representation the explicit form of the Volkov propagator can be obtained. Using the characteristic representation technique, the Schwinger integral [2] in the Volkov problem can be calculated.
A.A. Borghardt, D.Ya. Karpenko
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Elementary Results for the Fundamental Representation of SU(3) [PDF]
Reports on Mathematical Physics, 2015 A general group element for the fundamental representation of SU(3) is expressed as a second order polynomial in the hermitian generating matrix H, with coefficients consisting of elementary trigonometric functions dependent on the sole invariant det(H), in addition to the group parameter.
Cosmas K. Zachos, Thomas Curtright
openaire +6 more sources
Affine representations of the fundamental group (with an appendix on parabolic representations) [PDF]
arXiv, 1999 Unitary representations of the fundamental group of a Kahler manifold correspond to polystable vector bundles (with vanishing Chern classes). Semisimple linear representations correspond to polystable Higgs bundles. In this paper we find the objects corresponding to affine representations: the linear part gives a Higgs bundle and the translation part ...
Gomez, Tomas L., Presas, Francisco
arxiv +3 more sources