115 citations · 151 across the 9 of their papers we have counts for
9 papers
Integration on Lie supergroups. A Hopf superalgebra approach
M. Scheunert, R. B. Zhang
For a large class of finite-dimensional Lie superalgebras (including the classical simple ones) a Lie supergroup associated to the algebra is defined by fixing the Hopf superalgebr…
The quantum supergroup SPO_q(2n|2m) and an SPO_q(2n|2m)-covariant quantum Weyl superalgebra
M. Scheunert
Recently, the R-matrix of the symplecto-orthogonal quantum superalgebra U_q(spo(2n|2m)) in the vector representation has been calculated. In the present work, this R-matrix is used…
The R-matrix of the symplecto-orthogonal quantum superalgebra U_q(spo(2n|2m)) in the vector representation
M. Scheunert
The R-matrix of the symplecto-orthogonal quantum superalgebra U_q(spo(2n|2m)) in the vector representation is calculated, and its basic properties are derived.
Invariant integration on classical and quantum Lie supergroups
M. Scheunert, R. B. Zhang
Invariant integrals on Hopf superalgebras, in particular, the classical and quantum Lie supergroups, are studied. The uniqueness (up to scalar multiples) of a left integral is prov…
The second cohomology of sl(m|1) with coefficients in its enveloping algebra is trivial
M. Scheunert, R. B. Zhang
Using techniques developed in a recent article by the authors, it is proved that the 2-cohomology of the Lie superalgebra sl(m|1); m > 1, with coefficients in its enveloping algebr…
Cohomology of Lie superalgebras and of their generalizations
M. Scheunert, R. B. Zhang
The cohomology groups of Lie superalgebras and, more generally, of color Lie algebras, are introduced and investigated. The main emphasis is on the case where the module of coeffic…