26 citations · 45 across the 5 of their papers we have counts for
5 papers
Characters of $\U_q\bigl(gl(n)\bigr)$-reflection equation algebra
A. Mudrov
We list characters (one-dimensional representations) of the reflection equation algebra associated with the fundamental vector representation of the Drinfeld-Jimbo quantum group $\…
On critical behavior of phase transitions in certain antiferromagnets with complicated ordering
Andrei Mudrov, Konstantin Varnashev
Within the four-loop $\ve$ expansion, we study the critical behavior of certain antiferromagnets with complicated ordering. We show that an anisotropic stable fixed point governs t…
Associative triples and Yang-Baxter equation
Andrei Mudrov
We introduce triples of associative algebras as a tool for building solutions to the Yang-Baxter equation. It turns out that the class of R-matrices thus obtained is related to a H…
New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions
Andrei Mudrov, Konstantin Varnashev
A new approach to summation of divergent field-theoretical series is suggested. It is based on the Borel transformation combined with a conformal mapping and does not imply the exa…
Twisting cocycles in fundamental representation and triangular bicrossproduct Hopf algebras
Andrei Mudrov
We find the general solution to the twisting equation in the tensor bialgebra of an associative unital ring viewed as that of fundamental representation for…