Results 1 to 10 of about 2,886 (97)
CONSTRUCTIVE NONCOMMMUTATIVE INVARIANT THEORY [PDF]
Transformation Groups, 2021 AbstractThe problem of finding generators of the subalgebra of invariants under the action of a group of automorphisms of a finite-dimensional Lie algebra on its universal enveloping algebra is reduced to finding homogeneous generators of the same group acting on the symmetric tensor algebra of the Lie algebra.
Domokos, Matyas, Drensky, Vesselin
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Entropy, 2021 We study the dynamical invariant for dissipative three coupled oscillators mainly from the quantum mechanical point of view. It is known that there are many advantages of the invariant quantity in elucidating mechanical properties of the system.
Salim Medjber +2 more
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Star Identification and Attitude Determination With Projective Cameras
IEEE Access, 2021 Images of starfields collected by a projective camera are useful for a variety of scientific and engineering purposes. This utility is exemplified by star trackers, which are amongst the most commonly used sensors for determining the attitude of modern ...
John A. Christian, John L. Crassidis
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Adventures in invariant theory [PDF]
ANZIAM Journal, 2014 AbstractWe provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualized via two case studies, arising from our recent work: entanglement invariants for characterizing the structure of state spaces for composite quantum systems; and Markov invariants, a robust ...
Jarvis, P. D., Sumner, J. G.
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Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure ...
Nicolas Thiéry
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Words and polynomial invariants of finite groups in non-commutative variables [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $V$ be a complex vector space with basis $\{x_1,x_2,\ldots,x_n\}$ and $G$ be a finite subgroup of $GL(V)$. The tensor algebra $T(V)$ over the complex is isomorphic to the polynomials in the non-commutative variables $x_1, x_2, \ldots, x_n$ with ...
Anouk Bergeron-Brlek +2 more
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Gauge invariant perturbation theory via homotopy transfer
Journal of High Energy Physics, 2021 We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, using
Christoph Chiaffrino +2 more
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On a gauge-invariant deformation of a classical gauge-invariant theory
Journal of High Energy Physics, 2021 We consider a general gauge theory with independent generators and study the problem of gauge-invariant deformation of initial gauge-invariant classical action.
I. L. Buchbinder, P. M. Lavrov
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Design and generation of structured array beams with shape-invariant properties
New Journal of Physics, 2023 We theoretically propose and experimentally demonstrate a flexible approach to generate an arbitrary shape-invariant structured array beam during propagation with the prescribed intensity distribution.
Yuqiu Zhang +7 more
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Representation Learning in Sensory Cortex: A Theory
IEEE Access, 2022 We review and apply a computational theory based on the hypothesis that the feedforward path of the ventral stream in visual cortex’s main function is the encoding of invariant representations of images.
Fabio Anselmi, Tomaso Poggio
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