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Representations of solvable Lie algebras with filtrations
Representations solvable Lie algebras filtrations
2012/3/1
We construct representation theory of Lie algebras with filtrations. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are fou...
Multiplicity-Free Representations of Divergence-Free Lie Algebras
divergence-free Lie algebra Cartan type graded modules irreducible modules
2011/2/21
Divergence-free Lie algebras (also known as the special Lie algebras of Cartan type) are
Lie algebras of volume-preserving transformation groups. They are simple in generic case.
Dokovic and Zhao fo...
Lie supergroups, unitary representations, and invariant cones
Lie supergroups unitary representations invariant cones
2011/1/21
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
CleGo: A package for automated computation of Clebsch-Gordan coefficients in Tensor Product Representations for Lie Algebras A - G
CleGo Clebsch-Gordan coefficients Tensor Product Representations Lie Algebras A - G
2010/11/23
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...
Representations for the restricted Lie color algebras
Representations the restricted Lie color algebras
2010/11/12
The generalized p-characters for the restricted Lie color are defined. The simplicity of the induced modules for the FP triples are determined. As applications, we have obtained an analogue of the Ka...
Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
Finite dimensional irreducible representations finite W-algebras associated classical Lie algebras
2010/12/9
We consider finite W-algebras U(g, e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g, e)-modules with inte...