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

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

1995-11-22

arxiv.org/abs/q-alg/9511017v1

Mathematics

Quantum Algebra

7 pages, Latex, no figures (Talk given at the Conference "Symmetry in Nonlinear Mathematical Physics", Kiev, July 1995)

Scientific paper

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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