Quantum SL(3,C)'s with Classical Representation Theory
نویسندگان
چکیده
منابع مشابه
Quantum Sl(3,c)’s with Classical Representation Theory
We study and classify almost all quantum SL(3, C)’s whose representation theory is “similar” to that of the (ordinary) group SL(3, C). Only one case, related to smooth elliptic curves, could not be treated completely.
متن کاملClassical representation of a quantum system at equilibrium: Theory
A quantum system at equilibrium is represented by a corresponding classical system, chosen to reproduce thermodynamic and structural properties. The motivation is to allow application of classical strong-coupling theories and molecular dynamics simulation to quantum systems at strong coupling. The correspondence is made at the level of the grand-canonical ensembles for the two systems. An effec...
متن کاملQuantum Theory and Classical Information
Transmission of classical information using quantum objects such as polarized photons is studied. The classical (Shannon) channel capacity and its relation to quantum (von Neumann) channel capacity is investigated for various receiver arrangements. A quantum channel with transmission impairment caused by attenuation and random polarization noise is considered. It is shown that the maximal (von ...
متن کاملRepresentation theory and quantum integrability ∗
We describe new constructions of the infinite-dimensional representations of U(g) and Uq(g) for g being gl(N) and sl(N). The application of these constructions to the quantum integrable theories of Toda type is discussed. With the help of these infinitedimensional representations we manage to establish direct connection between group theoretical approach to the quantum integrability and Quantum...
متن کاملQuantum Groups and Representation Theory
I. QUANTUM GROUPS AND QUANTUM INTEGRABLE SYSTEMS The mathematical theory of solitons started with the invention of the Inverse Scattering Method (ISM) [1]. ISM is based on the introduction of the Lax pair of linear equations vx = U(x, λ, t)v, vt = V (x, λ, t)v (1) instead of an original integrable nonlinear evolution equation ut = K(u, ux, uxx, . . .). (2) Here v = v(x, t) is an m-dimensional v...
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 Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7658