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Article overview
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Quantum ax + b Group as Quantum Automorphism Group of k[x] | Shuzhou Wang
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17 Jul 1998 | Journal: | Communications in Algebra 30(4) (2002), 1807-1816 | Subject: | Operator Algebras; Quantum Algebra | math.OA math.QA | Abstract: | By introducing a result that guarantees a given bialgebra to be a Hopf algebra under a natural condition, we show that the quantum automorphism group of the algebra k[x] of polynomials over a field k (of any characteristic) is the universal quantum a x + b group, generalizing the fact that the automorphism group of k[x] is the a x + b group. The q-deformation of the a x + b group is then seen as one among a certain family ${mathcal A}_{q, n}$ of quantum subgroups of this universal quantum group. | Source: | arXiv, math.OA/9807094 | Services: | Forum | Review | PDF | Favorites |
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