A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation

نویسندگان

چکیده

Cycle sets are known to give non-degenerate unitary solutions of the Yang--Baxter equation and linear cycle enriched versions these algebraic systems. The paper explores recently developed cohomology extension theory for sets. We derive a four term exact sequence relating 1-cocycles, second certain groups automorphisms arising from central extensions This is an analogue similar group due Wells. also compare with that their underlying abelian discuss generalities on dynamical 2-cocycles.

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

Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation

In this paper we obtain  exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems.    The methods used  to determine the exact solutions of the underlying equation are the Lie group analysis  and the simplest equation method. The solutions obtained are  then plotted.

متن کامل

Exact Solutions of a Non-Polynomially Nonlinear Schrodinger Equation

A nonlinear generalisation of Schrodinger’s equation had previously been obtained using information-theoretic arguments. The nonlinearities in that equation were of a nonpolynomial form, equivalent to the occurence of higher-derivative nonlinear terms at all orders. Here we construct some exact solutions to that equation in 1 + 1 dimensions. On the half-line, the solutions resemble exponentiall...

متن کامل

EXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE

By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...

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: Homology, Homotopy and Applications

سال: 2022

ISSN: ['1532-0073', '1532-0081']

DOI: https://doi.org/10.4310/hha.2022.v24.n2.a2