Dependence of Bethe Vectors for RTT–Type Algebra sp(4)

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21260%2F25%3A00390500" target="_blank" >RIV/68407700:21260/25:00390500 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21340/25:00390500

Result on the web

<a href="http://dx.doi.org/10.1007/978-981-97-6453-2_20" target="_blank" >http://dx.doi.org/10.1007/978-981-97-6453-2_20</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-981-97-6453-2_20" target="_blank" >10.1007/978-981-97-6453-2_20</a>

Result language

angličtina

Original language name

Dependence of Bethe Vectors for RTT–Type Algebra sp(4)

Original language description

In our paper (Č. Burdík, O. Navrátil. Theor. and Math. Phys. 198 (2019) 1–16) we study the highest weight representations of the RTT–algebra of the sp(4) type by the nested algebraic Bethe ansatz. For the constructions we used the RTT–algebra A~2. Now we show that our Bethe vectors of this algebra are linearly dependent and the linearly independent vectors can be constructed using Bethe vectors of the RTT–algebra of gl(2) type only. In addition, we will present relations from which similar results also follow for RTT–algebras of type sp(2n) and so(2n)

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Lie Theory and Its Applications in Physics

ISBN

978-981-97-6452-5

ISSN

2194-1009

e-ISSN

2194-1017

Number of pages

11

Pages from-to

263-273

Publisher name

Springer Nature Singapore Pte Ltd.

Place of publication

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Event location

Varna

Event date

Jun 19, 2023

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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