# Central extensions of generalized orthosymplectic Lie superalgebras

@article{Chang2015CentralEO,
title={Central extensions of generalized orthosymplectic Lie superalgebras},
author={Zhihua Chang and Yongjie Wang},
journal={Science China Mathematics},
year={2015},
volume={60},
pages={223-260}
}
• Published 2 September 2015
• Mathematics
• Science China Mathematics
We completely determine the universal central extension of the generalized orthosymplectic Lie superalgebra ospm|2n(R,-) that is coordinatized by an arbitrary unital associative superalgebra (R,-) with superinvolution. As a result, an identification between the second homology group of the Lie superalgebra ospm|2n(R,-) and the first skew-dihedral homology group of the associative superalgebra (R,-) with superinvolution is created for positive integers m and n with (m,n) ≠ (1,1) and (m, n) ≠ (2…
2 Citations
• Mathematics
Communications in Algebra
• 2021
Abstract The aim of this note is to completely determine the second homology group of the special queer Lie superalgebra coordinatized by a unital associative superalgebra R, which will be achieved

## References

SHOWING 1-10 OF 24 REFERENCES

Abstract Our main purpose is to provide for primitive associative superalgebras a structure theory analogous to that for algebras [ 5 , 6 , 10 ] and to classify primitive superrings with
• Mathematics
• 1998
The cohomology groups of Lie superalgebras and, more generally, of e Lie algebras, are introduced and investigated. The main emphasis is on the case where the module of coefficients is nontrivial.
• Mathematics
• 2001
Abstract. For a commutative algebra A over a commutative ring k satisfying certain conditions, we construct the universal central extension of ${\frak g}_k \otimes_k A$, regarded as a Lie
We provide an introduction to the theory of universal central extensions of Lie superalgebras. In particular, we show that a Lie superalgebra has a universal central extension if and only if it is
• Mathematics
• 2011
We study central extensions of the Lie superalgebra sl n ( A ) when A is a Z / 2 Z -graded superalgebra over a commutative ring K . Steinberg Lie superalgebras and their central extensions play an
• Mathematics
Abstract We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type $C\left( n \right),D\left( m,n \right),D\left( 2,1;\alpha • Mathematics • 2013 We study central extensions of the Lie superalgebra$\mathfrak{s}\mathfrak{l}_n(A)\$ when A is a ℤ/2ℤ-graded superalgebra over a commutative ring K. Steinberg Lie superalgebras and their central