activity
19942023
most citedA Basis for Representations of Symplectic Lie Algebras

62 citations · 761 across the 58 of their papers we have counts for

collaborators

58 papers

math.QA2023★ 1 cited

Gaussian generators for the Yangian associated with the Lie superalgebra

Alexander Molev, Eric Ragoucy

We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra . It relies on the Gauss decomposition of the generator matrix in the -…

math.QA2022

Quantum Sugawara operators in type

Naihuan Jing, Ming Liu, Alexander Molev

We construct Sugawara operators for the quantum affine algebra of type in an explicit form. The operators are associated with primitive idempotents of the Hecke algebra and par…

math.QA2021★ 8 cited

A Drinfeld-type presentation of the orthosymplectic Yangians

A. I. Molev

We use the Gauss decomposition of the generator matrix in the -matrix presentation of the Yangian for the orthosymplectic Lie superalgebra to produce its Dr…

math.RT2021★ 11 cited

Representations of the super Yangians of types and

A. I. Molev

We classify the finite-dimensional irreducible representations of the super Yangian associated with the orthosymplectic Lie superalgebra . The classification is…

math.RT2021★ 8 cited

Representations of the Yangians associated with Lie superalgebras

A. I. Molev

We classify the finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras in terms of the Drinfeld…

math.RT2021★ 8 cited

Odd reflections in the Yangian associated with

A. I. Molev

The odd reflections are an effective tool in the Lie superalgebra representation theory, as they relate non-conjugate Borel subalgebras. We introduce analogues of the odd reflectio…