A Recent Look at the Quantum Berezinian in the Yangian Y (gl M|n )

نویسنده

  • Lucy Gow
چکیده

Brundan and Kleshchev recently introduced a new family of presentations of the Yangian Y (gln) associated to the general linear Lie algebra gln, and thus provided a fresh approach to its study. In this article, we would like to show how some of their ideas can be fruitfully extended to consider the Yangian Y (glm|n) associated to the Lie superalgebra glm|n. In particular, we give a new proof of the result by Nazarov that the quantum Berezinian is central.

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تاریخ انتشار 2008