TY - JOUR
T1 - Finite W-superalgebras via super Yangians
AU - Peng, Yung Ning
N1 - Funding Information:
The author is grateful to Shun-Jen Cheng and Weiqiang Wang for countless discussions and encouragement. A part of this article was finished during the author's visit to the RIMS (Kyoto, Japan) in 2016. The author would like to thank the RIMS for providing an excellent working environment, and also thank Naoki Genra, Ryosuke Kodera and Hiraku Nakajima for stimulating discussions during the visit. The visit is supported by the NCTS (Taipei, Taiwan), which is greatly acknowledged. The author would also like to thank Lucy Gow, Alexander Molev for communication, and particularly thank Alexander Tsymbaliuk for reading an earlier draft of the paper and providing helpful suggestions. The author is partially supported by MOST grant 105-2628-M-008-004-MY4.
Funding Information:
The author is grateful to Shun-Jen Cheng and Weiqiang Wang for countless discussions and encouragement. A part of this article was finished during the author's visit to the RIMS (Kyoto, Japan) in 2016. The author would like to thank the RIMS for providing an excellent working environment, and also thank Naoki Genra, Ryosuke Kodera and Hiraku Nakajima for stimulating discussions during the visit. The visit is supported by the NCTS (Taipei, Taiwan), which is greatly acknowledged. The author would also like to thank Lucy Gow, Alexander Molev for communication, and particularly thank Alexander Tsymbaliuk for reading an earlier draft of the paper and providing helpful suggestions. The author is partially supported by MOST grant 105-2628-M-008-004-MY4 .
Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2021/1/22
Y1 - 2021/1/22
N2 - Let e be an arbitrary even nilpotent element in the general linear Lie superalgebra glM|N and let We be the associated finite W-superalgebra. Let Ym|n be the super Yangian associated to the Lie superalgebra glm|n. A subalgebra of Ym|n, called the shifted super Yangian and denoted by Ym|n(σ), is defined and studied. Moreover, an explicit isomorphism between We and a quotient of Ym|n(σ) is established.
AB - Let e be an arbitrary even nilpotent element in the general linear Lie superalgebra glM|N and let We be the associated finite W-superalgebra. Let Ym|n be the super Yangian associated to the Lie superalgebra glm|n. A subalgebra of Ym|n, called the shifted super Yangian and denoted by Ym|n(σ), is defined and studied. Moreover, an explicit isomorphism between We and a quotient of Ym|n(σ) is established.
UR - https://www.scopus.com/pages/publications/85094560381
UR - https://www.scopus.com/pages/publications/85094560381#tab=citedBy
U2 - 10.1016/j.aim.2020.107459
DO - 10.1016/j.aim.2020.107459
M3 - Article
AN - SCOPUS:85094560381
SN - 0001-8708
VL - 377
JO - Advances in Mathematics
JF - Advances in Mathematics
M1 - 107459
ER -