Timur Kenzhaev

collaborators

4 papers

math.CO2024

Durfee rectangle identities as character identities for infinite Fibonacci configurations

Timur Kenzhaev

We introduce a natural generalization of Maya diagrams -- the space of infinite Fibonacci configurations, which are specified functions on $Z$ with values $1$ and $0$ . Inf…

math.RT2024

An alternative proof of $sl_{2}^{'}$ standard module semi-infinite structure

Timur Kenzhaev

B. Feigin and A. Stoyanovsky found the basis of semi-infinite monomials in standard $sl_{2}^{'}$ -module $L_{(0, 1)}$ with Lefschetz formula for the corresponding fl…

math.GT2024

Eighth problem of the Arnold trivium

Timur Kenzhaev

We give a full and detailed solution of eighth Arnold's trivium problem. We find critical points of a smooth function on a given one-parametric two-dimensional surface with Lagrang…

math-ph2024

Semi-infinite construction of one-dimensional lattice vertex superalgebras

Timur Kenzhaev

We construct the Feigin-Stoyanovsky (combinatorial) basis in case of one-dimensional lattice vertex superalgebras $V_{N Z}$ . Our proof is based on invariance of se…

Durfee rectangle identities as character identities for infinite Fibonacci configurations

An alternative proof of sl2′​ standard module semi-infinite structure

Eighth problem of the Arnold trivium

Semi-infinite construction of one-dimensional lattice vertex superalgebras

An alternative proof of $sl_{2}^{'}$ standard module semi-infinite structure