Nonrelativistic k-contractions of the coadjoint Poincaré algebra
نویسندگان
چکیده
منابع مشابه
Lie - Poisson Deformation of the Poincaré Algebra
We find a one parameter family of quadratic Poisson structures on R 4 × SL(2, C) which satisfies the property a) that it is preserved under the Lie-Poisson action of the Lorentz group, as well as b) that it reduces to the standard Poincaré algebra for a particular limiting value of the parameter. (The Lie-Poisson transformations reduce to canonical ones in that limit, which we therefore refer t...
متن کاملCoadjoint orbits of the group UT(7, K)
Orbits of the coadjoint action play an important role in harmonic analysis, theory of dynamic systems, noncommutative geometry. A.A. Kirillov’s orbit method allows to reduce the classification problem of unitary representations of nilpotent Lie groups to the classification of coadjoint orbits [1, 2]. This makes possible to solve the problems of representation theory in geometric terms of the or...
متن کاملModified Relativity from the κ - deformed Poincaré Algebra
The theory of the κ-deformed Poincaré algebra is applied to the analysis of various phenomena in special relativity, quantum mechanics and field theory. The method relies on the development of series expansions in κ −1 of the generalised Lorentz transformations, about the special-relativistic limit. Emphasis is placed on the underlying assumptions needed in each part of the discussion, and on i...
متن کاملOn the Coadjoint Representation of Z2-contractions of Reductive Lie Algebras
The ground field k is algebraically closed and of characteristic zero. Let g be a reductive algebraic Lie algebra. Classical results of Kostant [7] give a fairly complete invarianttheoretic picture of the (co)adjoint representation of g. Let σ ∈ Aut(g) be an involution and g = g0 ⊕ g1 the corresponding Z2-grading. Associated to this decomposition, there is a non-reductive Lie algebra k = g0 ⋉ g...
متن کاملLattice of weak hyper K-ideals of a hyper K-algebra
In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure operator, we study the lattice of all weak hyper K-ideals of ahyper K-algebra, and we prove a ...
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: International Journal of Modern Physics A
سال: 2020
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x20500098