5 citations · 10 across the 8 of their papers we have counts for
8 papers
Uniqueness of universal quantum dimensions
M. Y. Avetisyan, R. L. Mkrtchyan
We prove, under some assumptions, the uniqueness of universal quantum dimension formulae. We first show that the quantum dimensions of classical algebras have a specific form that…
Vogel's Universality and its Applications
Mane Avetisyan
The present thesis represents developments in two main directions related to the simple Lie algebras. The first one is devoted to the representation theory of the simple Lie algebr…
On refined Chern-Simons / topological string duality for classical gauge groups
M. Y. Avetisyan, R. L. Mkrtchyan
We present the partition function of the refined Chern-Simons theory on with arbitrary A,B,C,D gauge algebra in terms of multiple sine functions. For B and C cases this repre…
On partition functions of refined Chern-Simons theories on
M. Y. Avetisyan, R. L. Mkrtchyan
We present a new expression for the partition function of refined Chern-Simons theory on with arbitrary gauge group, which is explicitly equal to , when the coupling const…
On linear resolvability of universal quantum dimensions
M. Y. Avetisyan, R. L. Mkrtchyan
In his study of finite (Vassiliev's) knot invariants,Vogel introduced the so-called universal parameters, belonging to the projective plane, which particularly parameterize the sim…
Uniqueness of universal dimensions and configurations of points and lines
M. Y. Avetisyan, R. L. Mkrtchyan
The problem of uniqueness of universal formulae for (quantum) dimensions of simple Lie algebras is investigated. We present generic functions, which multiplied by a universal (quan…
On universal quantum dimensions of certain two-parameter series of representations
M. Y. Avetisyan, R. L. Mkrtchyan
We present the universal, in Vogel's sense, expression for the quantum dimension of Cartan product of an arbitrary number of adjoint and representations of simple Lie algebra…
series of universal quantum dimensions
M. Y. Avetisyan, R. L. Mkrtchyan
The antisymmetric square of the adjoint representation of any simple Lie algebra is equal to the sum of adjoint and representations. We present universal formulae for quantum…