P. Antonenko

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20212025

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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…

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

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

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

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