Add to ORKGAbstract. In this short note we announce three formulas for the set of weights of various classes of highest weight modules Vλ with highest weight λ, over a complex semisimple Lie algebra g with Cartan subalgebra h. These include, but are not restricted to, all (highest weight) simple modules L(λ). We also assert that these formulas are the “best possible”, in that they do not hold in general for other highest weight modules in a very precise sense. The proofs of the results in this note are included in an updated copy (Version 3) of the pape
For each r = (r_1, r_2,...,r_N) we construct a highest weight module M_r of the Lie algebra W_{1+inf...
We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions...
We give positive formulas for the weights of every simple highest weight module $L(\lambda)$ over an...
Let $\mathfrak{g}$ be a complex Kac-Moody algebra, with Cartan subalgebra $\mathfrak{h}$. Also fix a...
AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions...
This note is a survey of the results by Beilinson-Bernstein [1], Brylinski-Kashiwara [3], Kashiwara ...
AbstractIn this paper, we generalize a result by Berman and Billig on weight modules over Lie algebr...
Let $\mathfrak{g}$ be a finite or an affine type Lie algebra over $\mathbb{C}$ with root system $\De...
For a linear semisimple Lie group we obtain a necessary and sufficient condition for a highest weigh...
AbstractIn this paper, we introduce pre-exp-polynomial Lie algebras which include loop algebras, Vir...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
For each r = (r_1, r_2,...,r_N) we construct a highest weight module M_r of the Lie algebra W_{1+inf...
We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions...
We give positive formulas for the weights of every simple highest weight module $L(\lambda)$ over an...
Let $\mathfrak{g}$ be a complex Kac-Moody algebra, with Cartan subalgebra $\mathfrak{h}$. Also fix a...
AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions...
This note is a survey of the results by Beilinson-Bernstein [1], Brylinski-Kashiwara [3], Kashiwara ...
AbstractIn this paper, we generalize a result by Berman and Billig on weight modules over Lie algebr...
Let $\mathfrak{g}$ be a finite or an affine type Lie algebra over $\mathbb{C}$ with root system $\De...
For a linear semisimple Lie group we obtain a necessary and sufficient condition for a highest weigh...
AbstractIn this paper, we introduce pre-exp-polynomial Lie algebras which include loop algebras, Vir...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
For each r = (r_1, r_2,...,r_N) we construct a highest weight module M_r of the Lie algebra W_{1+inf...
We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...