Abstract
Consider the matrix Lie superalgebra A=gℓ(n|n, ℂ) with the standard generators e ij ; i, j ε ℤ2n. Define an automorphism π of A by π(e ij )=e i+n,j+n. The automorphisms π and −π o t, where t denotes the amtrix supertransposition, are involutory. Dissimilarly to the even case,
acquires a natural superalgebra structure. A quantization of the co-Poisson Hopf superalgebra U
is constructed. It gives rise to new solutions of the Yang-Baxter equation.
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© 1992 Springer-Verlag
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Nazarov, M.L. (1992). Yangians of the “strange” lie superalgebras. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101181
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DOI: https://doi.org/10.1007/BFb0101181
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