Central Extensions of Steinberg Lie Superalgebras of Small Rank |
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| Authors: | Shikui Shang Hongjia Chen |
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| Institution: | Department of Mathematics , University of Science and Technology of China , Hefei, Anhui, China |
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| Abstract: | It was shown by Mikhalev and Pinchuk (2000
Mikhalev , A. V. ,
Pinchuk , I. A. ( 2000 ). Universal central extensions of the matrix Lie superalgebras sl(m,n,A) . Int. Conf. in H.K.U., AMS , 111 – 125 . Google Scholar]) that the second homology group H 2(𝔰𝔱(m,n,R)) of the Steinberg Lie superalgebra 𝔰𝔱(m,n,R) is trivial for m + n ≥ 5. In this article, we will work out H 2(𝔰𝔱(m,n,R)) explicitly for m + n = 3, 4. |
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| Keywords: | Central extensions Steinberg Lie superalgebras |
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