Published July 29, 2016 | Version v1
Journal article

Anticommutative extension of the Adler map

  • 1. Institute of Mathematical Physics and Seismodynamics, Chechen State University (Russian Federation)
  • 2. Department of Applied Mathematics, University of Leeds (United Kingdom)

Description

We construct a noncommutative (Grassmann) extension of the well-known Adler Yang–Baxter map. It satisfies the Yang–Baxter equation, it is reversible and birational. Our extension preserves all the properties of the original map except the involutivity. (letter)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/49/30/30LT03

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
49
Journal Issue
30
Journal Page Range
[7 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48100673
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMMUTATION RELATIONS; EQUATIONS; MAPS