scientific article

Publication date: 15 September 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

representation Lie algebra universal enveloping algebra simple module weight module module categorification primitive ideal category O sl(2,C)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras (17-01)

Related Items (40)

The Grothendieck and Picard groups of finite rank torsion free \(\mathfrak{sl}(2)\)-modules ⋮ Extending representations of \(\mathfrak {sl}(2)\) to Witt and Virasoro algebras ⋮ An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras ⋮ Equivalence of blocks for the general linear Lie superalgebra ⋮ Relaxed highest-weight modules. I: Rank 1 cases ⋮ Duflo theorem for a class of generalized Weyl algebras ⋮ Admissible representations of simple affine vertex algebras ⋮ Non-weight modules over the block type algebra \(\mathcal{B}^\prime(p, q)\) ⋮ Quasi-Whittaker modules for the \(n\)-th Schrödinger algebra ⋮ On simple transitive 2-representations of bimodules over the dual numbers ⋮ Simple \(\mathfrak{sl} (V)\)-modules which are free over an abelian subalgebra ⋮ Category \(\mathcal{O}\) for the Schrödinger algebra ⋮ Module structures on \(U(S^-)\) for the Schrödinger algebra ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models ⋮ Representations of \(\mathfrak{sl}(2,\mathbb{C})\) in category \(\mathcal{O}\) and master symmetries ⋮ Generalized Verma modules over \(\mathfrak{sl}_{n + 2}\) induced from \(\mathcal{U}(\mathfrak{h}_n)\)-free \(\mathfrak{sl}_{n + 1}\)-modules ⋮ Cuspidal \(\mathfrak{sl}_n\)-modules and deformations of certain Brauer tree algebras ⋮ Relaxed category and vanishing of cohomology associated with quantum reduction ⋮ Restriction to Levi subalgebras and generalization of the category \(\mathcal O\) ⋮ On simple modules over conformal Galilei algebras ⋮ Graded modules over simple Lie algebras ⋮ Bosonic ghosts at \(c=2\) as a logarithmic CFT ⋮ Simple Schrödinger modules which are locally finite over the positive part ⋮ Simple singular Whittaker modules over the Schrödinger algebra ⋮ Lie subalgebras of differential operators in one variable ⋮ Tight irreducible finite weight modules over twisted affine Lie superalgebras ⋮ Simple Virasoro modules which are locally finite over a positive part ⋮ Construction of simple non-weight \(\mathfrak{sl}(2)\)-modules of arbitrary rank ⋮ Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras ⋮ Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\) ⋮ A class of simple weight Virasoro modules ⋮ Category O for Takiff sl2 ⋮ Quivers and Three-Dimensional Lie Algebras ⋮ Some homological properties of category \(\mathcal{O}\). III ⋮ Reduction method for representations of queer Lie superalgebras ⋮ BGG CATEGORY FOR THE QUANTUM SCHRÖDINGER ALGEBRA ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras ⋮ Embedding of \(\mathfrak{sl}_2(\mathbb{C})\)-modules into four-dimensional power-associative zero-algebra modules

This page was built for publication: