Gauss Decomposition of the Yangian Y (gl M|n )
نویسنده
چکیده
We describe a Gauss decomposition for the Yangian Y (glm|n) 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)) (with m 6= n) defined and studied in papers by Stukopin, and suggests natural definitions for the Yangians Y (sln|n) and Y (A(n, n)). We also show that the coefficients of the quantum Berezinian generate the centre of the Yangian Y (glm|n). This was conjectured by Nazarov in 1991.
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