Isomorphism between super Yangian and quantum loop superalgebra. I

Stukopin, Vladimir

doi:10.48550/arxiv.1804.06678

Search citation statements

Order By: Relevance

Paper Sections

Select...

Isomorphism1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We use approach described in [7] where non super case is proved. Also the result is proved in [26] for sl(1|1) and stated without complete proof in general case for Lie superalgebras of type A. We give the complete proof for this case.…”

Section: Isomorphismmentioning

confidence: 95%

See 1 more Smart Citation

Classification of Hopf superalgebra structures on Drinfeld super Yangians

Mazurenko¹,

Stukopin²

2022

Preprint

View full text Add to dashboard Cite

We construct a minimalistic presentation of Drinfeld super Yangians in the case of special linear superalgebra associated with an arbitrary Dynkin diagram. This gives us a possibility to introduce Hopf superalgebra structure on Drinfeld super Yangians. Using complete Weyl group we classify Drinfeld super Yangians endowed with mentioned Hopf superalgebra structures. Also it is constructed an isomorphism between completions of Drinfeld super Yangians and quantum loop superalgebras.

show abstract

Section: Isomorphismmentioning

confidence: 95%

“…between appropriate completions of quantum loop superalgebra U q (Lg(E, Π, p)) and Drinfeld super Yangian Y (g(E, Π, p)). We act by analogy with the paper [26] though we provide in some cases absolutely new proofs of important results. The proof of all these result is given in great details.…”

Section: Introductionmentioning

confidence: 99%