Braid Relations in the Yokonuma–Hecke Algebra

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Complexity of Relations in the Braid Group

We show that for any given n, there exists a sequence of words {ak}k≥1 in the generators σ1, . . . , σn−1 of the braid group Bn, representing the identity element of Bn, such that the number of braid relations of the form σiσi+1σi = σi+1σiσi+1 needed to pass from ak to the empty word is quadratic with respect to the length of ak.

متن کامل

Braid Relations in Aane Toda Field Theory

We provide explicit realizations for the operators which when exchanged give rise to the scattering matrix. For aane Toda eld theory we present two alternative constructions , one related to a free bosonic theory and the other formally to the quantum aane Heisenberg algebra of U q (^ Sl 2).

متن کامل

Braid Relations in Affine Toda Field Theory

We provide explicit realizations for the operators which when exchanged give rise to the scattering matrix. For affine Toda field theory we present two alternative constructions, one related to a free bosonic theory and the other formally to the quantum affine Heisenberg algebra of Uq(Ŝl2).

متن کامل

Teleportation, Braid Group and Temperley–Lieb Algebra

In the paper, we describe the teleportation from the viewpoints of the braid group and Temperley–Lieb algebra. We propose the virtual braid teleportation which exploits the teleportation swapping and identifies unitary braid representations with universal quantum gates, and further suggest the braid teleportation which is explained in terms of the crossed measurement and the state model of knot...

متن کامل

Inner products on the Hecke algebra of the braid group

We point out that the Homfly polynomial (that is to say, Ocneanu’s trace functional) contains two polynomial-valued inner products on the Hecke algebra representation of Artin’s braid group. These bear a close connection to the Morton–Franks–Williams inequality. In these structures, the sets of positive, respectively negative permutation braids become orthonormal bases. In the second case, many...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2001

ISSN: 0021-8693

DOI: 10.1006/jabr.2000.8646