On a Conjecture of Khoroshkin and Tolstoy

Author:

Appel Andrea1,Gautam Sachin2,Wendlandt Curtis3

Affiliation:

1. Dipartimento di Scienze Matematiche , Fisiche e Informatiche, Università degli Studi di Parma, 43124 Parma, Italy

2. Department of Mathematics , The Ohio State University, Columbus, OH 43210, USA

3. Department of Mathematics and Statistics , University of Saskatchewan, Saskatoon, SK S7N 5E6, Canada

Abstract

Abstract We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian’s universal $R$-matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from [11].

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference24 articles.

1. Braid group action and quantum affine algebras;Beck;Comm. Math. Phys.,1994

2. Convex bases of PBW type for quantum affine algebras;Beck;Comm. Math. Phys.,1994

3. La $R$-matrice pour les algèbres quantiques de type affine non tordu;Damiani;Ann. Sci. Éc. Norm. Supér. (4),1998

4. Hopf algebras and the quantum Yang–Baxter equation (Russian);Drinfeld;Dokl. Akad. Nauk SSSR,1985

5. A new realization of Yangians and quantum affine algebras (Russian);Drinfeld;Dokl. Akad. Nauk SSSR,1987

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