The Two-Eigenvalue Problem and Density of Jones Representation of Braid Groups
نویسندگان
چکیده
1. The Two-Eigenvalue Problem . . . . . . . . . . . . . . . . . . . . . . . . 179 2. Hecke Algebra Representations of Braid Groups . . . . . . . . . . . . . . 183 3. Duality of Jones–Wenzl Representations . . . . . . . . . . . . . . . . . . 186 4. Closed Images of Jones–Wenzl Sectors . . . . . . . . . . . . . . . . . . . 188 5. Distribution of Evaluations of Jones Polynomials . . . . . . . . . . . . . . 192 6. Fibonacci Representations . . . . . . . . . . . . . . . . . . . . . . . . . . 196
منابع مشابه
Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum
In this paper, we find matrix representation of a class of sixth order Sturm-Liouville problem (SLP) with separated, self-adjoint boundary conditions and we show that such SLP have finite spectrum. Also for a given matrix eigenvalue problem $HX=lambda VX$, where $H$ is a block tridiagonal matrix and $V$ is a block diagonal matrix, we find a sixth order boundary value problem of Atkin...
متن کاملInfinite product representation of solution of indefinite SturmLiouville problem
In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. N...
متن کامل2 00 5 the N - Eigenvalue Problem and Two Applications
We consider the classification problem for compact Lie groups G ⊂ U(n) which are generated by a single conjugacy class with a fixed number N of distinct eigenvalues. We give an explicit classification when N = 3, and apply this to extract information about Galois representations and braid group representations.
متن کاملLocalization of Unitary Braid Group Representations
Governed by locality, we explore a connection between unitary braid group representations associated to a unitary R-matrix and to a simple object in a unitary braided fusion category. Unitary R-matrices, namely unitary solutions to the Yang-Baxter equation, afford explicitly local unitary representations of braid groups. Inspired by topological quantum computation, we study whether or not it is...
متن کامل1 0 Ju n 20 05 THE N - EIGENVALUE PROBLEM AND TWO APPLICATIONS
We consider the classification problem for compact Lie groups G ⊂ U(n) which are generated by a single conjugacy class with a fixed number N of distinct eigenvalues. We give an explicit classification when N = 3, and apply this to extract information about Galois representations and braid group representations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001