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Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative spac...
An Example of an Indecomposable Module Without Non-Zero Hollow Factor Modules
Hollow modules Indecomposable modules Lifting modules coalgebras
2010/2/26
A module M is called hollow-lifting if every submodule N of M such that M/N is hollow contains a direct summand D \subseteq N such that N/D is a small submodule of M/D. A module M is called lifting if...
The exterior algebra and `Spin' of an orthogonal g-module
exterior algebra Spin' an orthogonal g-module
2010/11/1
A well-known result of Kostant gives a description of the G-module structure for the exterior algebra of Lie algebra $\frak g$. We give a generalization of this result for the isotropy representation...