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- W2890002634 abstract "Let $pi:sl(n|n)to A(n-1,n-1)$ be the natural epimorphism of Lie superalgebra. Then $dimkerpi=1$. Let $pi^{(t)}:sl^{(t)}(n|n)to A^{(t)}(n-1,n-1)$ be the natural epimorphism, where $t=1,2,4$. Let ${e_k|kin{mathbb{Z}}}$ be the basis of $kerpi^{(t)}$ with $e_kin sl^{(t)}(n|n)_{(a_tk+b_t)delta}$, where $(a_1,b_1)=(1,0)$, $(a_2,b_2)=(2,-1)$ and $(a_4,b_4)=(4,-2)$. The main result of this paper is to explicitly describe an element of $U_q(sl^{(t)}(n|n))$ (and its multi-parameter version) corresponding to $e_1$ (i.e., $k=1$). As for $U_q(sl^{(1)}(n|n))$ (i.e., $t=1$), the author had already had explicit description for every $k$ in 1999." @default.
- W2890002634 created "2018-09-27" @default.
- W2890002634 creator A5073237941 @default.
- W2890002634 date "2018-09-10" @default.
- W2890002634 modified "2023-09-27" @default.
- W2890002634 title "Lowest positive almost central elements of $U_q(sl^{(1)}(n|n))$ $(ngeq 2)$, $U_q(sl^{(2)}(2n|2n))$ $(ngeq 2)$ and $U_q(sl^{(4)}(2n+1|2n+1))$ $(ngeq 1)$ and their multi-parameter quantum affine superalgebras" @default.
- W2890002634 hasPublicationYear "2018" @default.
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