English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

To provide tools, especially L-operators, for use in studies of rationalYang-Baxter algebras and quantum integrable models when the Lie algebras so(N)(b_n, d_n) or sp(2n) (c_n) are the invariance algebras of their R matrices,this paper develops a presentation of these Lie algebras convenient for thecontext, and derives many properties of the matrices of their definingrepresentations and of the ad-invariant tensors that enter their multiplicationlaws. Metaplectic-type representations of sp(2n) and so(N) on bosonic and onfermionic Fock spaces respectively are constructed. Concise general expressions(see (5.2) and (5.5) below) for their L-operators are obtained, and used toderive simple formulas for the T operators of the rational RTT algebra of theassociated integral systems, thereby enabling their efficient treatment bymeans of the algebraic Bethe ansatz.Comment: 24 pages, LaTe

SYMPLECTIC AND ORTHOGONAL LIE ALGEBRA TECHNOLOGY FOR BOSONIC AND FERMIONIC OSCILLATOR MODELS OF INTEGRABLE SYSTEMS