Quantum E(2) Groups and Lie Bialgebra Structures
نویسنده
چکیده
Lie bialgebra structures on e(2) are classified. For two Lie bialgebra structures which are not coboundaries (i.e. which are not determined by a classical r-matrix) we solve the cocycle condition, find the Lie-Poisson brackets and obtain quantum group relations. There is one to one correspondence between Lie bialgebra structures on e(2) and possible quantum deformations of U (e(2)) and E(2).
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تاریخ انتشار 1995