We prove that applying a projective functor to a holonomic simple module over a semisimple
finite‐dimensional complex Lie algebra produces a module that has an essential …

We show that the ring of invariants in a skew monoid ring contains a so called standard
Galois order. Any Galois ring contained in the standard Galois order is automatically itself a …

In this paper, we construct, investigate and, in some cases, classify several new classes of
(simple) modules over the Takiff sl 2⁠. More precisely, we first explicitly construct and …

On the classification of irreducible Gelfand-Tsetlin modules of sl (3) Page 76 Contemporary
Mathematics Volume 623 , 2014 http://dx. doi. org/10.1090/conm/623/12443 On the classification …

This paper is devoted to an elementary new construction of 1-singular Gelfand–Tsetlin
modules using complex geometry. We introduce a universal ring D v together with the vector …

In the present paper we study Gelfand-Tsetlin modules defined in terms of BGG differential
operators. The structure of these modules is described with the aid of the Postnikov-Stanley …

For a finite-dimensional Lie algebra over with a fixed Levi decomposition, where is
semisimple, we investigate-modules which decompose, as-modules, into a direct sum of …

We introduce the notion of essential support of a simple Gelfand-Tsetlin gl n-module as an
attempt to understand the character formula of such module. This support detects the …

We prove that an invariant subalgebra A n W of the Weyl algebra A n is a Galois order over
an adequate commutative subalgebra Γ when W is a two-parameters irreducible unitary …

We prove that applying a projective functor to a simple module over a semi-simple finite
dimensional complex Lie algebra produces a module that has an essential semi-simple …