The universal character is a polynomial attached to a pair of partitions and is a generalization of the Schur polynomial. In this paper, we introduce an integrable system of q-difference lattice equations satisfied by the universal character, and call it the lattice q-UC hierarchy. We regard it as generalizing both q-KP and q-UC hierarchies. Suitable similarity and periodic reductions of the hi...

We study additive double character sums over two subsets of a finite field. show that if there is suitable rational self-map small degree set $D$, then this contains large subset $U$ for which the standard bound on absolute value

We study the minimally supported representations of quantizations Gieseker moduli spaces. relate them to $${\text {SL}}_n$$ -equivariant D-modules on nilpotent cone $$\mathfrak {sl}_n$$ and type A rational Cherednik algebras. Our main result is character formulas for quantized

This study aims to analyze the sampling technique was Proportional Random Sampling with a total sample of 113 students. The results showed that: 1), peers have significant effect on learning achievement. Where indicated by coefficient value 0.336. is because t-count 3,477 > t-table 1,65909. 2), character education has 0.326. 3.153 1.65909. 3), skills 0.180. valueis 2.246 4), giving rewards 0...

Let G be a reductive group over a finite field Fq and let G(Fq) be its group of Fq-rational points. In 1976 P. Deligne and G. Lusztig (following a suggestion of V. Drinfeld for G = SL(2)) associated to any maximal torus T in G defined over Fq certain remarkable series (virtual) representations of the group G(Fq). These representations were realized in é tale l-adic cohomology of certain algebra...

In this work, by applying the symbolic computation with ansatz functions approach and logarithmic transformation, we investigate analytical rational solitons of mixed Chen–Lee–Liu derivative nonlinear Schrödinger-equation. We acquire two categories M-shaped solutions their dynamics are revealed in figures choosing proper vales concerned parameters. Moreover types interaction kink wave computed....

The 2-bridge knots (or links) are a family of knots with bridge number 2. A 2bridge knot (link) has at most 2 components. Except for the knot 85, the first 25 knots in the Rolfsen Knot Table are 2-bridge knots. A 2-bridge knot is also called a rational knot because it can be obtained as the numerator or denominator closure of a rational tangle. The rich mathematical aspects of 2-bridge knots ca...

Abslrocr -Suppose that a rational function Z ( s ) is defined by a Laurent .series, the coefficients of which are known. Several criteria are given in terms of these coefficients (the Markov parameters of Z(s)) to ensure that Re Z ( j w ) > 0 for all red w. The criteria are defined by using a Cauchy index formulation of the ratio of two rational functions, and they are of three types-involving ...

A hierarchical clustering P2P network model based on user interest is presented in this paper to improve search efficiency. The routers in the network are abstracted as the activated peer node, and the activated routing table is constructed to depict the character of the interest cluster. The P2P network is divided into different subnets according into their interest character, and the correspo...

Let Bn denote the centralizer of a fixed-point free involution in the symmetric group S2n. Each of the four one-dimensional representations of Bn induces a multiplicity-free representation of S2n, and thus the corresponding Hecke algebra is commutative in each case. We prove that in two of the cases, the primitive idempotents can be obtained from the power-sum expansion of Schur's Q-functions, ...