Multiparameter Deformations of the Algebra gln in Terms of Anyonic Oscillators
Abstract
Generators of multiparameter deformations Uq;s1,s2,...,sn-1(gln) of the universal enveloping algebra U(gln) are realized bilinearly by means of appropriately generalized form of anyonic oscillators (AOs). This modification takes into account the parameters s1,...,sn-1 and yields usual AOs when all the si are set equal to unity.
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