Multi-parameter compact matrix quantum group with generators of norm one

Boundary quantum group generators from the open transfer matrix

We present a systematic way of constructing boundary quantum group generators associated to non-diagonal solutions of the reflection equation for the XXZ model. This is achieved by studying the asymptotics of the corresponding open transfer matrix. Linear intertwining relations for the K matrix and Sklyanin’s operator are also obtained, and the symmetry of the transfer matrix is investigated. L...

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Boundary quantum group generators of type A

We construct boundary quantum group generators which, through linear intertwining relations, determine nondiagonal solutions of the boundary Yang-Baxter equation for the cases A (1) n−1 and A (2) 2 .

Matrix generators for the Harada-Norton group

Multi-parameter Polynomials with Given Galois Group

The non-Abelian finite simple groups and their automorphism groups play a crucial role in an inductive approach to the inverse problem of Galois theory. The rigidity method (see, for example, Malle and Matzat, 1999) has proved very efficient for deducing the existence of Galois extensions with such groups, as well as for the construction of polynomials generating such extensions. Nevertheless, ...