M. Nazarov

activity

19972004

most citedRepresentations of twisted Yangians associated with skew Young diagrams

31 citations · 59 across the 5 of their papers we have counts for

collaborators

10 papers

math.RT2004

Centralizer construction of the Yangian of the queer Lie superalgebra

Maxim Nazarov, Alexander Sergeev

Consider the complex matrix Lie superalgebra $g l_{N ∣ N}$ with the standard generators $E_{ij}$ where $i, j = - N, ..., - 1, 1, ..., N$ . Define an involutive automorphism $η$ of $g l_{N ∣ N}$ by…

math.RT2003★ 19 cited

A mixed hook-length formula for affine Hecke algebras

Maxim Nazarov

Consider the affine Hecke algebra $H_{l}$ corresponding to the group $G L_{l}$ over a $p$ -adic field with the residue field of cardinality $q$ . Regard $H_{l}$ as an associative algebra ov…

math.RT2003★ 5 cited

Rational representations of Yangians associated with skew Young diagrams

Maxim Nazarov

Let $G L_{M}$ be general linear Lie group over the complex field. The irreducible rational representations of the group $G L_{M}$ are labeled by pairs of partitions $μ$ and $μ ~$ suc…

math.RT2002★ 4 cited

Representations of Yangians associated with skew Young diagrams

Maxim Nazarov

The Yangian of the Lie algebra $g l_{N}$ has a distinguished family of irreducible finite-dimensional representations, called elementary representations. They are parametrized by pair…

math.RT2002★ 31 cited

Representations of twisted Yangians associated with skew Young diagrams

Maxim Nazarov

Let $G_{M}$ be one of the complex Lie groups $O_{M}$ and $S p_{M}$ . The irreducible finite-dimensional representations of the group $G_{M}$ are labeled by partitions $μ$ satisfying certain…

math.QA2000

On irreducibility of tensor products of Yangian modules associated with skew Young diagrams

Maxim Nazarov, Vitaly Tarasov

We study the tensor product $W$ of any number of "elementary" irreducible modules $V_{1}, ..., V_{k}$ over the Yangian of the general linear Lie algebra. Each of these modules is determi…