92 citations · 601 across the 60 of their papers we have counts for
60 papers
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 $F'_4=F_{4(4)}…
Representations of Multiparameter Quantum Groups
V. K. Dobrev
We construct representations of the quantum algebras ~ and ~~ which are in duality with the multiparameter quantum groups ~$GL_{q{\bf q}}(…
Heisenberg Parabolic Subgroups of Exceptional Noncompact 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 algebra . We use both the mi…
Invariant differential operators for the Jacobi algebra
N. Aizawa, V. K. Dobrev
In the present paper we construct explicitly the intertwining differential operators for the Jacobi algebra For the construction we use the singular vectors of the Ve…
Tenfold Way for Holography : AdS/CFT and Beyond
V. K. Dobrev
The main purpose of the present paper is to lay the foundations of generalizing the AdS/CFT (holography) idea beyond the conformal setting. The main tool is to find suitable realiz…
Parabolic Verma Modules and Invariant Differential Operators
V. K. Dobrev
In the present paper we continue the project of systematic classification and construction of invariant differential operators for non-compact semisimple Lie groups. This time we m…