Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963899058> ?p ?o ?g. }
Showing items 1 to 49 of
49
with 100 items per page.
- W2963899058 endingPage "212" @default.
- W2963899058 startingPage "181" @default.
- W2963899058 abstract "We study certain family of finite-dimensional modules over the Yangian $Y(gl_N)$. The algebra $Y(gl_N)$ comes equipped with a distinguished maximal commutative subalgebra $A(gl_n)$ generated by the centres of all algebras in the chain $Y(gl_1)subset Y(gl_2)subset...subset Y(gl_N)$. We study the finite-dimensional $Y(gl_N)$-modules with a semisimple action of the subalgebra $A(gl_N)$. We call these modules tame. We provide a characterization of irreducible tame modules in terms of their Drinfeld polynomials. We prove that every irreducible tame module splits into a tensor product of modules corresponding to the skew Young diagrams and some one-dimensional module. The eigenbases of $A(gl_N)$ in irreducible tame modules are called Gelfand-Zetlin bases. We provide explicit formulas for the action of the Drinfeld generators of the algebra $Y(gl_N)$ on the vectors of Gelfand-Zetlin bases." @default.
- W2963899058 created "2019-07-30" @default.
- W2963899058 creator A5034010684 @default.
- W2963899058 creator A5037913750 @default.
- W2963899058 date "1998-03-02" @default.
- W2963899058 modified "2023-10-17" @default.
- W2963899058 title "Representations of Yangians with GelfandZetlin bases" @default.
- W2963899058 doi "https://doi.org/10.1515/crll.1998.029" @default.
- W2963899058 hasPublicationYear "1998" @default.
- W2963899058 type Work @default.
- W2963899058 sameAs 2963899058 @default.
- W2963899058 citedByCount "89" @default.
- W2963899058 countsByYear W29638990582012 @default.
- W2963899058 countsByYear W29638990582013 @default.
- W2963899058 countsByYear W29638990582014 @default.
- W2963899058 countsByYear W29638990582015 @default.
- W2963899058 countsByYear W29638990582016 @default.
- W2963899058 countsByYear W29638990582017 @default.
- W2963899058 countsByYear W29638990582018 @default.
- W2963899058 countsByYear W29638990582019 @default.
- W2963899058 countsByYear W29638990582020 @default.
- W2963899058 countsByYear W29638990582021 @default.
- W2963899058 countsByYear W29638990582022 @default.
- W2963899058 crossrefType "journal-article" @default.
- W2963899058 hasAuthorship W2963899058A5034010684 @default.
- W2963899058 hasAuthorship W2963899058A5037913750 @default.
- W2963899058 hasConcept C185592680 @default.
- W2963899058 hasConceptScore W2963899058C185592680 @default.
- W2963899058 hasIssue "496" @default.
- W2963899058 hasLocation W29638990581 @default.
- W2963899058 hasOpenAccess W2963899058 @default.
- W2963899058 hasPrimaryLocation W29638990581 @default.
- W2963899058 hasRelatedWork W1531601525 @default.
- W2963899058 hasRelatedWork W1990781990 @default.
- W2963899058 hasRelatedWork W2319480705 @default.
- W2963899058 hasRelatedWork W2384464875 @default.
- W2963899058 hasRelatedWork W2606230654 @default.
- W2963899058 hasRelatedWork W2607424097 @default.
- W2963899058 hasRelatedWork W2748952813 @default.
- W2963899058 hasRelatedWork W2899084033 @default.
- W2963899058 hasRelatedWork W2948807893 @default.
- W2963899058 hasRelatedWork W2778153218 @default.
- W2963899058 hasVolume "1998" @default.
- W2963899058 isParatext "false" @default.
- W2963899058 isRetracted "false" @default.
- W2963899058 magId "2963899058" @default.
- W2963899058 workType "article" @default.