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20052022
most citedCentral extensions of Steinberg Lie superalgebras of small rank

10 citations · 19 across the 4 of their papers we have counts for

collaborators

4 papers

math.RT2022

The -graded dimensions of the free Jordan superalgebra

Shikui Shang

Let be a field of characteristic . For a superspace $V=V_\bar{0}\oplus V_\bar{1}$ over , we call the vector $(\dim_k V_\bar{0} ,\dim_k V_\bar{1})$ the (-)g…

math.QA2006★ 10 cited

Central extensions of Steinberg Lie superalgebras of small rank

Hongjia Chen, Yun Gao, Shikui Shang

It was shown by A.V.Mikhalev and I.A.Pinchuk in [MP] that the second homology group $H_2(\st)$ of the Steinberg Lie superalgebra $\st$ is trivial for . In this paper, we…

math.QA2006★ 9 cited

B(0,N)-graded Lie superalgebras coordinatized by quantum tori

Hongjia Chen, Yun Gao, Shikui Shang

We use a fermionic extension of the bosonic module to obtain a class of B(0,N)-graded Lie superalgebras with nontrivial central extensions.

math.QA2005

Universal coverings of Steinberg Lie algebras of small characteristic

Yun Gao, Shikui Shang

It is well-known that the second homology group $H_2(\st)$ of the Steinberg Lie algebra $\st$ is trivial when . In this paper, we will work out $H_2(\st)$ explicitly for $…