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In § 6 we apply some standard motivic decompositions of projective homogeneous varieties to certain varieties related to a central simple algebra with an isotropic

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 12, pp... The denominator of y is bounded away from zero for

We show that our construction yields all Leonard pairs of Racah, Hahn, dual Hahn, and Krawtchouk type, and no other types of Leonard pairs..

Representations of quantum groups and realizations of q - oscillators are closely related to basic hypergeometric functions and q -orthogonal polynomials.. Instead of Jacobi,

Key words: partial differential equations; conservative difference schemes; difference al- gebra; linear difference ideal; Gr¨ obner basis; Janet-like basis; computer algebra;

Key words: orthogonal polynomials; Askey–Wilson polynomials; q-difference equation; three term recurrence; raising operators; lowering operators; root systems; double affine

It is also shown that the boundary quantum algebra – emerging from the reflection algebra with no spectral parameter – provides in fact a symmetry for any generic open transfer

In particular, it has been shown that their integrals of motion generate a quadratic Poisson algebra (in the classical case) or a quadratic associative algebra (in the quantum one)