Quantum Toroidal and Shuffle Algebras, R-matrices and a Conjecture of Kuznetsov
Quantum Toroidal and Shuffle Algebras, R-matrices and a Conjecture of Kuznetsov
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量子环形和洗牌代数、R 矩阵和库兹涅佐夫猜想
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发表时间:
2013
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通讯作者:
Andrei Neguț
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作者:
Andrei Neguț
In this paper, we prove that the quantum toroidal algebra of type A is isomorphic to the double shuffle algebra of Feigin and Odesskii. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R-matrix of the quantum toroidal algebra, and also prove a conjecture of Kuznetsov about the K-theory of affine Laumon spaces