53 citations · 485 across the 50 of their papers we have counts for
50 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…
Universal quantum dimensions: -dependent factors
M. Y. Avetisyan, R. L. Mkrtchyan
We develop an approach for computing the universal, in Vogel's sense, quantum dimensions. In a previous work a method for calculating the -independent part of these dimensions f…
A note on universality in refined Chern-Simons theory
Andrei Mironov, Ruben Mkrtchyan
We discuss various forms of refinements of Vogel's universality in Chern-Simons theory. While the original universality applies to arbitrary simple Lie groups, its counterpart in r…
Universal Quantum Dimensions: I. -Independent Factors
R. L. Mkrtchyan
We propose a method for computing universal (in Vogel's sense) quantum dimension formulae for universal multiplets whose associated , , and representations are nonzero…
On the universal Casimir spectrum
R. L. Mkrtchyan
We conjecture the connection between and members of universal, in Vogel's sense, multiplets. The key element is the notion of the {\it vertical componentwise sum} $\oplus…
The Casimir eigenvalues on of SU(N) are linear on N
R. L. Mkrtchyan
We consider eigenvalues of the Casimir operator on the naturally defined \textit{stable sequences} of representations of algebra and prove that eigenvalues are linear over…