Gauss Decomposition of the Yangian Y({\mathfrak{gl}}_{m|n})
作者： Lucy Gow
DOI: 10.1007/S00220-007-0349-5
关键词: Mathematics 、 Gauss 、 Lie superalgebra 、 Yangian 、 Pure mathematics 、 Decomposition 、 Berezinian 、 Connection (algebraic framework)
摘要: We describe a Gauss decomposition for the Yangian \(Y({\mathfrak{gl}}_{m|n})\) of general linear Lie superalgebra. This gives connection between this and classical superalgebra Y(A(m − 1, n 1)) (for m ≠ n) defined studied in papers by Stukopin, suggests natural definitions Yangians \(Y({\mathfrak{sl}}_{n|n})\) Y(A(n, n)). also show that coefficients quantum Berezinian generate centre . was conjectured Nazarov 1991.
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