Twisted superYangians and their representations

Mathematics – Quantum Algebra

Scientific paper

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30 pages, no figure

Scientific paper

Starting with the superYangian Y(M|N) based on gl(M|N), we define twisted
superYangians Y^+(M|N) and Y^-(M|N). Only Y^+(M|2n) and Y^-(2m|N) can be
defined, and appear to be isomorphic one with each other. We study their
finite-dimensional irreducible highest weight representations.

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