P. Antonenko

activity

20212025

collaborators

4 papers

hep-th2025

BC-type open $S L (2, C)$ spin chain

P. Antonenko, S. Derkachov, P. Valinevich

We diagonalize the $B$ -element of monodromy matrix for noncompact open $S L (2, C)$ spin chain with boundary interaction. The monodromy matrix is defined in terms of $SL(2,\m…

hep-th2025

A-Type Open $SL (2, C)$ Spin Chain

Pavel V. Antonenko, Sergey É. Derkachov, Pavel A. Valinevich

For the noncompact open $SL (2, C)$ spin chain, the eigenfunctions of the special matrix element of monodromy matrix are constructed. The key ingredients of the whole…

math-ph2024

Reflection operator and hypergeometry II: $S L (2, C)$ spin chain

P. Antonenko, N. Belousov, S. Derkachov +1

We consider noncompact open $S L (2, C)$ spin chain and construct eigenfunctions of $B$ -element of monodromy matrix for the simplest case of the chain with one site. The ref…

math-ph2021

The Gelfand-Tsetlin basis for infinite-dimensional representations of $g l_{n} (C)$

P. V. Antonenko

We consider the problem of determination of the Gelfand-Tsetlin basis for unitary principal series representations of the Lie algebra $g l_{n} (C)$ . The Gelfand-Tsetlin basis…

BC-type open SL(2,C) spin chain

A-Type Open SL(2,C) Spin Chain

Reflection operator and hypergeometry II: SL(2,C) spin chain

The Gelfand-Tsetlin basis for infinite-dimensional representations of gln​(C)

BC-type open $S L (2, C)$ spin chain

A-Type Open $SL (2, C)$ Spin Chain

Reflection operator and hypergeometry II: $S L (2, C)$ spin chain

The Gelfand-Tsetlin basis for infinite-dimensional representations of $g l_{n} (C)$