53 citations · 61 across the 5 of their papers we have counts for
14 papers
Compact groups and their representations
Alexandre Kirillov, Alexander Kirillov
This is an overview article on compact Lie groups and their representations, written for the Encyclopedia of Mathematical Physics to be published by Elsevier.
Modification of the field theory and the dark matter problem
A. A. Kirillov
We present a Modification of the Field Theory in which the topology of space can vary. We show that in MOFT particles lose their point-like character and acquire a specific distrib…
On --equivariant modular categories
Alexander Kirillov
In this paper, we study -equivariant tensor categories for a finite group . These categories were introduced by Turaev under the name of -crossed categories; the motivatin…
On the modular functor associated with a finite group
Alexander Kirillov
In this note, we give a description of the modular functor associated to the Chern-Simons theory with a finite group from the complex-analytic point of view, i.e. as a vector bundl…
On properties of elementary excitations in fractal media
A. A. Kirillov
It is shown that elementary excitations in fractal media obey the so-called parastatistics of a variable order. We show that the order of the parastatistics is a function o…
Modular categories and orbifold models II
Alexander Kirillov
This is a continuation of the paper "Modular tensor categories and orbifold theories", arXiv:math.QA/0104242. It discusses orbifold models of conformal filed theory, or, in mathema…