Gauss Decomposition of the Yangian $$Y({\mathfrak{gl}}_{m|n})$$ |
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Authors: | Lucy Gow |
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Institution: | (1) School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia |
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Abstract: | We describe a Gauss decomposition for the Yangian of the general linear Lie superalgebra. This gives a connection between this Yangian and the Yangian of the classical Lie
superalgebra Y(A(m − 1, n − 1)) (for m ≠ n) defined and studied in papers by Stukopin, and suggests natural definitions for the Yangians and Y(A(n, n)). We also show that the coefficients of the quantum Berezinian generate the centre of the Yangian . This was conjectured by Nazarov in 1991. |
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