A class of Lie and Jordan algebras realized by means of the canonical commutation relations
A Class of Nonassociative Algebras with Involution Containing the Class of Jordan Algebras.
A Class of Non-Standard Modules for Affine Lie Algebras.
A classification for real and complex finite dimensional -algebras
La presente Nota contiene una lista di -algebre reali di dimensione finita ed una lista di -algebre complesse di dimensione finita tali che: 1) due elementi distinti di ogni lista non sono mai -isomorfi; 2) ogni -algebra di dimensione finita reale (complessa) è —isomorfa su (su ) alla somma diretta, finita, di -algebre reali (complesse) elencate nella lista. In altre parole, diamo qui una classificazione completa delle —algebre reali e delle -algebre complesse di dimensione finita. Nel...
A classification of low dimensional multiplicative Hom-Lie superalgebras
We study a twisted generalization of Lie superalgebras, called Hom-Lie superalgebras. It is obtained by twisting the graded Jacobi identity by an even linear map. We give a complete classification of the complex multiplicative Hom-Lie superalgebras of low dimensions.
A classification of multiplicity free representations.
A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
Let G be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous G-spaces with connected isotropy subgroups is given. This result is based on Drinfeld's correspondence between Poisson homogeneous G-spaces and Lagrangian subalgebras in the double D𝖌 (here 𝖌 = Lie G). A geometric interpretation of some Poisson homogeneous G-spaces is also proposed.
A Clifford algebra approach to simple Lie algebras of real rank two. I: The case.
A cluster algebra approach to -characters of Kirillov–Reshetikhin modules
We describe a cluster algebra algorithm for calculating -characters of Kirillov–Reshetikhin modules for any untwisted quantum affine algebra . This yields a geometric -character formula for tensor products of Kirillov–Reshetikhin modules. When is of type , this formula extends Nakajima’s formula for -characters of standard modules in terms of homology of graded quiver varieties.
A combinatorial construction of .
A Comparison Theory for the Structure of Induced Representations II.
A computer-based approach to the classification of nilpotent Lie algebras.
A concrete analysis of the radical concept.
A conjecture on Lie algebras admitting a regular automorphism of finite order
A construction for algebras satisfying the maximal condition for subalgebras
A Construction of Representations of Weyl Groups.
A construction of some ideals in affine vertex algebras.
A constructive method to determine the variety of filiform Lie algebras
In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials which define this variety. It allows to improve previous results related with the cardinal of this set. We have also computed explicitly these polynomials in the case of dimensions 11 and 12.
A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.
A description of discrete series using step algebras.