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Two-parameter quantum groups and quantum planes

Sunggoo Cho·Sang-jun Kang·Chung-hum Kim·Kwang Sung Park
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Abstract

Usually the generators of a quantum group are assumed to be commutative with the noncommuting coordinates of a quantum plane. We have relaxed the assumption and investigated its consequences. Not only does a two-parameter quantum group arise naturally, but also the formulation leads us to many probable quantum planes associated with a quantum group. Several examples are presented.

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Sunggoo Cho, Sang-jun Kang, Chung-hum Kim, Kwang Sung Park. 1996-06-29. Two-parameter quantum groups and quantum planes. https://arxiv.org/abs/q-alg/9606024

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