Relation of deformed nonlinear algebras with linear ones
نویسندگان
چکیده
منابع مشابه
Covariant (hh)-Deformed Bosonic and Fermionic Algebras as Contraction Limits of q-Deformed Ones
GLh(n) × GLh′(m)-covariant (hh)-bosonic (or (hh)-fermionic) algebras Ahh′±(n,m) are built in terms of the corresponding Rh and Rh′-matrices by contracting the GLq(n) × GLq±1(m)-covariant q-bosonic (or q-fermionic) algebras A q± (n,m), α = 1, 2. When using a basis of A q± (n,m) wherein the annihilation operators are contragredient to the creation ones, this contraction procedure can be carried o...
متن کامل2 4 D ec 1 99 8 EMBEDDING q - DEFORMED HEISENBERG ALGEBRAS INTO UNDEFORMED ONES
Any deformation of a Weyl or Clifford algebra can be realized through some change of generators in the undeformed algebra. Here we briefly describe and motivate our systematic procedure for constructing all such changes of generators for those particular deformations where the original algebra is covariant under some Lie group and the deformed algebra is covariant under the corresponding quantu...
متن کاملMapping deformed hyperbolic potentials into nondeformed ones
In this work we introduce a mapping between the so called deformed hyperbolic potentials, which are presenting a continuous interest in the last few years, and the corresponding nondeformed ones. As a consequence, we conclude that these deformed potentials do not pertain to a new class of exactly solvable potentials, but to the same one of the corresponding nondeformed ones. Notwithstanding, we...
متن کاملLinear operators of Banach spaces with range in Lipschitz algebras
In this paper, a complete description concerning linear operators of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is provided. Necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. Finally, a lower bound for the essential norm of such operators is obtained.
متن کاملq-deformed W-algebras and elliptic algebras
The elliptic algebra Aq,p(ŝl(N)c) at the critical level c = −N has an extended center containing trace-like operators t(z). Families of Poisson structures, defining q-deformations of the WN algebra, are constructed. The operators t(z) also close an exchange algebra when (−p1/2)NM = q−c−N for M ∈ Z. It becomes Abelian when in addition p = qNh where h is a non-zero integer. The Poisson structures...
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: Journal of Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/47/2/025207