22 citations · 48 across the 10 of their papers we have counts for
10 papers
Langlands Duality and Invariant Differential Operators: the Case SL(2n+1)
V. K. Dobrev
Recently we started building a bridge between two cases of Langlands duality. The latter is one of the most influential topics in mathematical research. It has many different appea…
Langlands Duality and Invariant Differential Operators
V. K. Dobrev
Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now s…
Invariant Differential Operators for Non-Compact Lie Groups: the Case
N. Aizawa, V. K. Dobrev
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras . Our choice of thes…
Invariant Differential Operators for the Real Exceptional Lie Algebra
V. K. Dobrev
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact exceptional Lie algebra which i…
Classification of the Reducible Verma Modules over the Jacobi Algebra
N. Aizawa, V. K. Dobrev, S. Doi
In the present paper we study the representations of the Jacobi algebra. More concretely, we define, analogously to the case of semi-simple Lie algebras, the Verma modules over the…
Positive Energy Unitary Irreducible Representations of the Superalgebras and Character Formulae
V. K. Dobrev, I. Salom
We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras . We update previous results and present the full lis…
Invariant Differential Operators for Non-Compact Lie Groups: the Case
V. K. Dobrev
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra . We give the main m…
Explicit Character Formulae for Positive Energy UIRs of D=4 Conformal Supersymmetry
V. K. Dobrev
This paper continues the project of constructing the character formulae for the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su…
Exceptional Lie Algebra (Multiplets and Invariant Differential Operators)
V. K. Dobrev
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact exceptional algebra . Our…
Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
V. K. Dobrev, R. B. Zhang
We give the classification of the positive energy (lowest weight) unitary irreducible representations of the superalgebras osp(1|2n,R).