CANONICAL, LIE-ALGEBRAIC AND QUADRATIC TWIST DEFORMATIONS OF GALILEI GROUP
نویسندگان
چکیده
منابع مشابه
New Lie-Algebraic and Quadratic Deformations of Minkowski Space from Twisted Poincaré Symmetries
We consider two new classes of twisted D=4 quantum Poincaré symmetries described as the dual pairs of noncocommutative Hopf algebras. Firstly we investigate the two-parameter class of twisted Poincaré algebras which provide the Liealgebraic noncommutativity of the translations. The corresponding star-products and new deformed Lie-algebraic Minkowski spaces are introduced. We discuss further the...
متن کاملCanonical Symplectic Structures and Deformations of Algebraic Surfaces
We show that a minimal surface of general type has a canonical symplectic structure (unique up to symplectomorphism) which is invariant for smooth deformation. Our main theorem is that the symplectomorphism type is also invariant for deformations which allow certain normal singular-ities, called Single Smoothing Singularities (and abbreviated as SSS), and moreover for deformations yielding Q-Go...
متن کاملJu n 20 00 Poisson – Lie structures on Galilei group ∗
The complete list of Poisson–Lie structures on 4-d Galilei group is presented.
متن کاملLie Atoms and Their Deformations
A Lie atom is essentially a pair of Lie algebras and its deformation theory is that of a deformation with respect to the first algebra, endowed with a trivialization with respect to the second. Such deformations occur commonly in Algebraic Geometry, for instance as deformations of subvarieties of a fixed ambient variety. Here we study some basic notions related to Lie atoms, focussing especiall...
متن کاملThe relativistic Lie algebra expansion: from Galilei to Poincaré
We extend a Lie algebra expansion method recently introduced for the (2 + 1)dimensional kinematical algebras to the expansions of the (3 + 1)-dimensional Galilei algebra. One of these expansions goes from the (3 + 1)-dimensional Galilei algebra to the Poincaré one; this process introduces a curvature equal to −1/c, where c is the relativistic constant, in the space of worldlines. This expansion...
متن کاملذخیره 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: Modern Physics Letters A
سال: 2008
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732308027151