Results 11 to 20 of about 3,055 (272)
Torus knots in adjoint representation and Vogel’s universality [PDF]
European Physical Journal C: Particles and FieldsVogel’s universality gives a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters $$\alpha ,\beta ,\gamma $$ α , β , γ , which are homogeneous coordinates of Vogel’s plane.
Liudmila Bishler, Andrei Mironov
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A representation for an adjoint operator
Journal of Numerical Analysis and Approximation Theory, 1975 Not available.
Stephen P. Travis
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An adjoint representation for polynomial algebras [PDF]
Proceedings of the American Mathematical Society, 1987 This paper shows that a graded polynomial algebra over F 2 {F_2} with Steenrod algebra action possesses an analog of the adjoint representation for the cohomology of the classifying space of a compact connected Lie group.
Stephen Α. Mitchell, R. E. Stong
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Adjoints and low-rank covariance representation [PDF]
Nonlinear Processes in Geophysics, 2001 Abstract. Quantitative measures of the uncertainty of Earth system estimates can be as important as the estimates themselves. Direct calculation of second moments of estimation errors, as described by the covariance matrix, is impractical when the number of degrees of freedom of the system state is large and the sources of uncertainty are not ...
Tippett, Michael K., Cohn, Stephen E.
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Characterizing barren plateaus in quantum ansätze with the adjoint representation [PDF]
Nature CommunicationsVariational quantum algorithms, a popular heuristic for near-term quantum computers, utilize parameterized quantum circuits which naturally express Lie groups.
Enrico Fontana +7 more
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Lie Supergroups Obtained from 3-Dimensional Lie Superalgebras Associated to the Adjoint Representation and Having a 2-Dimensional Derived Ideal [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 We give the explicit multiplication law of the Lie supergroups for which the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra g=g0⊕g1 which satisfies g1=g0, g0 acts on g1 via the adjoint representation and g0 has a 2 ...
I. Hernández, R. Peniche
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Rational actions associated to the adjoint representation [PDF]
Annales scientifiques de l'École normale supérieure, 1987 Let \(G\) be a simple algebraic group with Lie algebra \(\mathfrak g\). In this paper the authors prove a \(G\)-equivariant version of the Poincaré-Birkhoff-Witt theorem. In positive characteristic they also obtain analogous results for the hyperalgebras of \(G\) and of the Frobenius kernels \(G_r\), \(r\geq 1\). Extending \textit{F. D.
Eric M. Friedlander, Brian Parshall
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Useful relations among the generators in the defining and adjoint representations of SU(N)
SciPost Physics Lecture Notes, 2021 There are numerous relations among the generators in the defining and adjoint representations of SU(N). These include Casimir operators, formulae for traces of products of generators, etc.
Howard E. Haber
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SELF-ADJOINT REPRESENTATIONS OF BRAID GROUPS [PDF]
Journal of Knot Theory and Its Ramifications, 2012 We give a method to construct new self-adjoint representations of 𝔹n of finite dimension. In particular, we give a family of irreducible self-adjoint representations of dimension arbitrarily large. Moreover we give sufficient condition for a representation to be constructed with this method.
Egea, Claudia Maria, Galina, Esther
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Worldline description of a bi-adjoint scalar and the zeroth copy
Journal of High Energy Physics, 2021 Bi-adjoint scalars are helpful in studying properties of color/kinematics duality and the double copy, which relates scattering amplitudes of gauge and gravity theories. Here we study bi-adjoint scalars from a worldline perspective.
Fiorenzo Bastianelli +2 more
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