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Multiparameter Deformations of the Algebra $gl_n$ in Terms of Anyonic Oscillators

A. M. Gavrilik·N. Z. Iorgov
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Abstract

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.

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A. M. Gavrilik, N. Z. Iorgov. 1995-11-22. Multiparameter Deformations of the Algebra $gl_n$ in Terms of Anyonic Oscillators. https://doi.org/10.2991/jnmp.1996.3.3-4.26

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