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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 \(U_{q,q}\).

17B37 Quantum groups (quantized enveloping algebras) and related deformations
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
Full Text: DOI
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