On Certain Quantum Deformations of Gl(n, R).*
نویسنده
چکیده
In this paper all deformations of the general linear group, subject to certain restrictions which in particular ensure a smooth passage to the Lie group limit, are obtained. Representations are given in terms of certains sets of creation and annihilation operators. These creation and annihilation operators may belong to a generalisation of the q-quark type or q-hadronic type, of q-boson or q-fermion type. We are also led to a natural definition of q-direct sums of q-algebras.
منابع مشابه
MULTIPARAMETER DEFORMATIONS OF THE ALGEBRA gl n IN TERMS OF ANYONIC OSCILLATORS
Generators of multiparameter deformations U q;s 1 ,s 2 ,...,s n−1 (gl n) of the universal enveloping algebra U (gl n) are realized bilinearly by means of appropriately generalized form of anyonic oscillators (AOs). This modification takes into account the parameters s 1 , ..., s n−1 and yields usual AOs when all the s i are set equal to unity. 1. Introduction. Various aspects of quantum groups ...
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