Quiver varieties and t-analogs of q-characters of quantum affine algebras
H Nakajima - Annals of mathematics, 2004 - JSTOR
We consider a specialization of an untwisted quantum affine algebra of type ADE at a
nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of …
nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of …
[图书][B] Representations of Shifted Yangians and Finite -algebras
J Brundan, AS Kleshchëv - 2008 - books.google.com
The authors study highest weight representations of shifted Yangians over an algebraically
closed field of characteristic $0 $. In particular, they classify the finite dimensional irreducible …
closed field of characteristic $0 $. In particular, they classify the finite dimensional irreducible …
Yangians and their applications
AI Molev - Handbook of algebra, 2003 - Elsevier
Publisher Summary This chapter discusses the Yangians theory and their applications. The
discovery of the Yangians is motivated by quantum inverse scattering theory. The Yangians …
discovery of the Yangians is motivated by quantum inverse scattering theory. The Yangians …
Completeness of Wronskian Bethe Equations for Rational Spin Chains
D Chernyak, S Leurent, D Volin - Communications in Mathematical …, 2022 - Springer
We consider rational integrable supersymmetric gl m| n spin chains in the defining
representation and prove the isomorphism between a commutative algebra of conserved …
representation and prove the isomorphism between a commutative algebra of conserved …
Jacobi–Trudi identity and Drinfeld functor for super Yangian
K Lu, E Mukhin - International Mathematics Research Notices, 2021 - academic.oup.com
We show that the quantum Berezinian that gives a generating function of the integrals of
motions of XXX spin chains associated to super Yangian can be written as a ratio of two …
motions of XXX spin chains associated to super Yangian can be written as a ratio of two …
Handsaw quiver varieties and finite W-algebras
H Nakajima - arXiv preprint arXiv:1107.5073, 2011 - arxiv.org
Following Braverman-Finkelberg-Feigin-Rybnikov (arXiv: 1008.3655), we study the
convolution algebra of a handsaw quiver variety, aka a parabolic Laumon space, and a finite …
convolution algebra of a handsaw quiver variety, aka a parabolic Laumon space, and a finite …
Yangian of the queer Lie superalgebra
M Nazarov - arXiv preprint math/9902146, 1999 - arxiv.org
Take the matrix Lie superalgebra $ gl_ {N| N} $ with the standard generators $ E_ {ij} $
where $ i, j=-N,...,-1, 1,..., N $. Define an involutive automorphism of $ gl_ {N| N} $ by …
where $ i, j=-N,...,-1, 1,..., N $. Define an involutive automorphism of $ gl_ {N| N} $ by …
From characters to quantum (super) spin chains via fusion
V Kazakov, P Vieira - Journal of High Energy Physics, 2008 - iopscience.iop.org
We give an elementary proof of the Bazhanov-Reshetikhin determinant formula for rational
transfer matrices of the twisted quantum super-spin chains associated with the gl (K| M) …
transfer matrices of the twisted quantum super-spin chains associated with the gl (K| M) …
[PDF][PDF] On the cleanness of cuspidal character sheaves
G Lusztig - arXiv preprint arXiv:1101.0752, 2011 - arxiv.org
arXiv:1101.0752v1 [math.RT] 4 Jan 2011 Page 1 arXiv:1101.0752v1 [math.RT] 4 Jan 2011
ON THE CLEANNESS OF CUSPIDAL CHARACTER SHEAVES G. Lusztig Abstract. We …
ON THE CLEANNESS OF CUSPIDAL CHARACTER SHEAVES G. Lusztig Abstract. We …
Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type 𝐵𝐶
H Chen, N Guay, X Ma - Transactions of the American Mathematical …, 2014 - ams.org
We study twisted Yangians of type AIII which have appeared in the literature under the name
of reflection algebras. They admit $ q $-versions which are new twisted quantum loop …
of reflection algebras. They admit $ q $-versions which are new twisted quantum loop …