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Non-commutative Euclidean structures in compact spaces

B. -D. Doerfel
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Abstract

Based on results for real deformation parameter q we introduce a compact non- commutative structure covariant under the quantum group SOq(3) for q being a root of unity. To match the algebra of the q-deformed operators with necesarry conjugation properties it is helpful to define a module over the algebra genera- ted by the powers of q. In a representation where X is diagonal we show how P can be calculated. To manifest some typical properties an example of a one-di- mensional q-deformed Heisenberg algebra is also considered and compared with non-compact case.

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B. -D. Doerfel. 2000-01-18. Non-commutative Euclidean structures in compact spaces. https://doi.org/10.1088/0305-4470%2F34%2F12%2F306

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