Braided modules and reflection equations

Mathematics – Quantum Algebra

Scientific paper

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18 pp., Latex

Scientific paper

We introduce a representation theory of q-Lie algebras defined earlier in
\cite{DG1}, \cite{DG2}, formulated in terms of braided modules. We also discuss
other ways to define Lie algebra-like objects related to quantum groups, in
particular, those based on the so-called reflection equations. We also
investigate the truncated tensor product of braided modules.

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