Parabolic presentations of the super Yangian $Y({\mathfrak{gl}}_{M|N})$ associated with arbitrary 01-sequences

Abstract

For any fixed composition $\mu$ of $M+N$ and any fixed $0^M{1}^N$-sequence $\mathfrak{s}$, we obtain a new presentation of the super Yangian $Y_{M|N}$ associated to the general linear Lie superalgebra ${\mathfrak{gl}}_{M|N}$.

v2, 37 pages, revised title/introduction, added some details, expanded Section 7, fixed typos, comments are welcome, to appear in CMP

References in corpus (4)

• Gauss Decomposition of the Yangian Y(gl_{m|n})
• Principal W-algebras for GL(m|n)
• On shifted super Yangians and a class of finite W-superalgebras
• Finite W-superalgebras and truncated super Yangians

Cited by in corpus (10)

• Shuffle algebra realizations of type $A$ super Yangians and quantum affine superalgebras for all Cartan data
• Jacobi-Trudi identity and Drinfeld functor for super Yangian
• Finite W-superalgebras via super Yangians
• A note on odd reflections of super Yangian and Bethe ansatz
• A Drinfeld-type presentation of the orthosymplectic Yangians
• Odd reflections in the Yangian associated with $\mathfrak{g}l(m|n)$
• Orthosymplectic Yangians
• Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$
• Twisted super Yangians of type AIII and their representations
• Quantum Berezinian for quantum affine superalgebra $U_q({\widehat{gl}}_{M|N})$