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A two-parameter quantization of GL(n). (English) Zbl 0723.17012
The quantum analogue $$GL_ q(n)$$ is now a well-known Hopf algebra, as is the quantized universal enveloping algebra $$U_ q(gl(n))$$. The author gives a two-parameter quantization $$GL_{\alpha,\beta}(n)$$ which is $$GL_ q(n)$$ for $$\alpha =\beta =q$$. Similarly, he constructs $$U_{\alpha,\beta}$$ such that $$U_ q(gl(n))$$ is a quotient Hopf algebra of $$U_{q,q}$$.

##### MSC:
 17B37 Quantum groups (quantized enveloping algebras) and related deformations 16W30 Hopf algebras (associative rings and algebras) (MSC2000)
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##### References:
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