Quantum braided Poincaré group
نویسنده
چکیده
A new deformation of the of the Poincaré group and of the Minkowski space-time is given. From the mathematical point of view this deformation is rather quantum-braided group. Global and local structure of this quantumbraided Poincaré group is investigated. A kind of “quantum metrics” is introduced in the q-Minkowski space.
منابع مشابه
Quantum Lorentz and braided Poincaré groups
Quantum Lorentz groups H admitting quantum Minkowski space V are selected. Natural structure of a quantum space G = V × H is introduced, defining a quantum group structure on G only for triangular H (q = 1). We show that it defines a braided quantum group structure on G for |q| = 1.
متن کاملBraided Clifford Algebras as Braided Quantum Groups
The paper deals with braided Clifford algebras, understood as Chevalley-Kähler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be naturally endowed with a braided quantum group structure. Basic group entities are constructed explicitly.
متن کاملSome Remarks on Quantum and Braided Group Gauge Theory
We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzezinski and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. We study the bosonisation of any braided group provides as a trivial principal bundle in three ways.
متن کاملBeyond Supersymmetry and Quantum Symmetry (an Introduction to Braided-groups and Braided-matrices)
This is a systematic introduction for physicists to the theory of algebras and groups with braid statistics, as developed over the last three years by the author. There are braided lines, braided planes, braided matrices and braided groups all in analogy with superlines, superplanes etc. The main idea is that the bose-fermi ±1 statistics between Grassmannn coordinates is now replaced by a gener...
متن کاملBraided Matrix Structure of the Sklyanin Algebra and of the Quantum Lorentz Group
Braided groups and braided matrices are novel algebraic structures living in braided or quasitensor categories. As such they are a generalization of super-groups and super-matrices to the case of braid statistics. Here we construct braided group versions of the standard quantum groups Uq(g). They have the same FRT generators l± but a matrix braided-coproduct ∆L = L⊗L where L = l+Sl−, and are se...
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 1993