Results 21 to 30 of about 152,745 (261)
Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G^{(1)}_2$ $R$-matrix [PDF]
, 1995 We find all the diagonal $K$-matrices for the $R$-matrix associated with the minimal representation of the exceptional affine algebra $G^{(1)}_2$. The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find
Batchelor, M. T., Yung, C. M.
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Affine Tensor Product Model Transformation
Complexity, 2018 This paper introduces the novel concept of Affine Tensor Product (TP) Model and the corresponding model transformation algorithm. Affine TP Model is a unique representation of Linear Parameter Varying systems with advantageous properties that makes it ...
József Kuti, Péter Galambos
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Optimal control of stochastic singular affine systems with Markovian jumps
Journal of Inequalities and Applications, 2022 We consider an optimal control problem for a class of stochastic singular affine systems with Markovian jumps. We establish the existence and uniqueness of the solution to stochastic singular affine systems with Markovian jumps for the first time.
Xin Wang, Lisha Wang, Yuxiang Liu
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Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio Mathematica, 2019 Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
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A class of colliding waves in metric-affine gravity, nonmetricity and torsion shock waves [PDF]
, 2000 By using our recent generalization of the colliding waves concept to metric-affine gravity theories, and also our generalization of the advanced and retarded time coordinate representation in terms of Jacobi functions, we find a general class of ...
Alberto Garcı́a +11 more
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Rational Dyck Paths in the Non Relatively Prime Case [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case.
Eugene Gorsky +2 more
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Adjoint affine fusion and tadpoles
, 2016 We study affine fusion with the adjoint representation. For simple Lie algebras, elementary and universal formulas determine the decomposition of a tensor product of an integrable highest-weight representation with the adjoint representation.
Urichuk, Andrew, Walton, Mark A.
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Rationality of admissible affine vertex algebras in the category O
, 2014 We study the vertex algebras associated with modular invariant representations of affine Kac-Moody algebras at fractional levels, whose simple highest weight modules are classified by Joseph's characteristic varieties. We show that an irreducible highest
Arakawa, Tomoyuki
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Double affine Hecke algebras, conformal coinvariants and Kostka polynomials [PDF]
, 2005 We study a class of representations called ``calibrated representations'' of the degenerate double affine Hecke algebra and those of the rational Cherednik algebra of type ${\mathrm{GL}}_n$.
Suzuki, Takeshi
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Symmetrizable Quantum Affine Superalgebras And Their Representations
, 1996 Aspects of the algebraic structure and representation theory of the quantum affine superalgebras with symmetrizable Cartan matrices are studied. The irreducible integrable highest weight representations are classified, and shown to be deformations of ...
Drinfeld V. G., R. B. Zhang
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