31 citations · 52 across the 6 of their papers we have counts for
6 papers
Diophantine equations, Platonic solids, McKay correspondence, equivelar maps and Vogel's universality
H. M. Khudaverdian, R. L. Mkrtchyan
We notice that one of the Diophantine equations, , arising in the universality originated Diophantine classification of simple Lie algebras, has interesting interp…
Universal volume of groups and anomaly of Vogel's symmetry
H. M. Khudaverdian, R. L. Mkrtchyan
We show that integral representation of universal volume function of compact simple Lie groups gives rise to six analytic functions on , which transform as two triplets under…
Kaluza-Klein theory revisited: projective structures and differential operators on algebra of densities
H. M. Khudaverdian
We consider differential operators acting on densities of arbitrary weights on manifold identifying pencils of such operators with operators on algebra of densities of all weig…
Geometric constructions on the algebra of densities
H. M. Khudaverdian, Th. Th. Voronov
The algebra of densities $\Den(M)$ is a commutative algebra canonically associated with a given manifold or supermanifold . We introduced this algebra earlier in connection with…
Second order operators on the algebra of densities and a groupoid of connections
H. M. Khudaverdian, Th. Th. Voronov
We consider the geometry of second order linear operators acting on the commutative algebra of densities on a (super)manifold introduced in our previous work. In the conventional l…
Higher Poisson Brackets and Differential Forms
H. M. Khudaverdian, Th. Th. Voronov
We show how the relation between Poisson brackets and symplectic forms can be extended to the case of inhomogeneous multivector fields and inhomogeneous differential forms (or pseu…