q-Deformed Inhomogeneous Algebras Uq(ison) and Their Representations

نویسندگان

  • A. M. GAVRILIK
  • N. Z. IORGOV
چکیده

Proceeding from the nonstandard q-deformed algebras U ′ q(son+1) and their finitedimensional representations in a q-analog of the Gel’fand-Tsetlin basis, we obtain, by means of the contraction procedure, the corresponding q-deformed inhomogeneous algebras U ′ q(ison) in a uniform fashion for all n ≥ 2 as well as their infinite-dimensional representations.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

q-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations

Deformed orthogonal and pseudo-orthogonal Lie algebras are constructed which differ from deformations of Lie algebras in terms of Cartan subalgebras and root vectors and which make it possible to construct representations by operators acting according to Gel’fand–Tsetlin-type formulas. Unitary representations of the q-deformed algebras Uq(son,1) are found. AMS subject classifications (1980). 16...

متن کامل

Crystal Bases and Monomials for Uq(G2)-modules

In this paper, we give a new realization of crystal bases for irreducible highest weight modules over Uq(G2) in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization. Introduction In 1985, the quantum groups Uq(g), which may be thought of as q-deformations of the universal enveloping algebras U(g) of Kac-Moody algebras g, were introd...

متن کامل

General Construction of Nonstandard R h - matrices as Contraction Limits of R q - matrices

A class of transformations of Rq-matrices is introduced such that the q → 1 limit gives explicit nonstandard Rh-matrices. The transformation matrix is singular itself at q → 1 limit. For the transformed matrix, the singularities, however, cancel yielding a well-defined construction. Our method can be implemented systematically for R-matrices of all dimensions and not only for sl(2) but also for...

متن کامل

An extended q - deformed su ( 2 ) algebra and the Bloch electron problem

It is shown that an extended q-deformed su(2) algebra with an extra (“Schwinger ”) term can describe Bloch electrons in a uniform magnetic field with an additional periodic potential. This is a generalization of the analysis of Bloch electrons by Wiegmann and Zabrodin. By using a representation theory of this q-deformed algebra, we obtain functional Bethe ansatz equations whose solutions should...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002