Results 101 to 110 of about 216,282 (303)
Parametrizing Clifford Algebras’ Matrix Generators with Euler Angles
Advances in Applied Clifford AlgebrasA parametrization, given by the Euler angles, of Hermitian matrix generators of even and odd-degenerate Clifford algebras is constructed by means of the Kronecker product of a parametrized version of Pauli matrices and by the identification of all possible anticommutation sets for a given algebra.
Manuel Beato Vásquez +1 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami +3 more
wiley +1 more source
Certain invariants of generic matrix algebras
Algebra and Discrete MathematicsLet \(K\) be a field and \(G\) be a subgroup of order 4 of the special linear group \(SL_2(K)\) generated by the matrix \(\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}\). Assume further that \(W\) is the associative unital algebra generated by two generic traceless matrices \(X\) and \(Y\); and \(L\) is the Lie subalgebra of the algebra \(W ...
Öğüşlü, Nazar Ş. +1 more
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NONLOCAL MATRIX GENERALIZATIONS OF N=2 SUPER VIRASORO ALGEBRA [PDF]
Modern Physics Letters A, 1994 We study the generalization of the second Gelfand-Dickey bracket to the superdifferential operators with matrix-valued coefficients. The associated matrix Miura transformation is derived. Using this bracket we work out a nonlocal and nonlinear N=2 superalgebra which contains the N=2 super Virasoro algebra as a subalgebra.
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Optimal Control Applications and Methods, EarlyView.Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera +4 more
wiley +1 more source
Orthogonal and symplectic Yangians and Yang–Baxter R-operators
Nuclear Physics B, 2016 Yang–Baxter R operators symmetric with respect to the orthogonal and symplectic algebras are considered in an uniform way. Explicit forms for the spinorial and metaplectic R operators are obtained.
A.P. Isaev, D. Karakhanyan, R. Kirschner
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Irredundant generating sets for matrix algebras
Linear Algebra and its Applications, 1983 AbstractWe prove the following Main Theorem: Let S be an irredundant generating set for the algebra Mn(F) of n × n matrices over a field F. Then the cardinality of S is at most 3 if n = 2, and at most 2n − 2 if n > 2.
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Generalized Lie derivations of unital algebras with idempotents
, 2018 Let A be a unital algebra with a nontrivial idempotent e over a unital commutative ring R . We show that under suitable assumptions every generalized Lie n -derivation F : A → A is of the form F(x) = λx+ Δ(x) , where λ ∈ Z(A ) and Δ is a Lie n ...
Dominik Benkovič
semanticscholar +1 more source
Advanced Quantum Technologies, EarlyView.Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
From CFT to Ramond super-quantum curves
Journal of High Energy Physics, 2018 As we have shown in the previous work, using the formalism of matrix and eigenvalue models, to a given classical algebraic curve one can associate an infinite family of quantum curves, which are in one-to-one correspondence with singular vectors of a ...
Pawel Ciosmak +4 more
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