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Some Graded Bialgebras Related to Borcherds Superalgebras

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Abstract

In present paper we define a new kind of weak quantized enveloping algebra of Borcherds superalgebras. We denote this algebra by \(wU_{q}^{\tau}(\mathcal{G})\). It is a noncommutative and noncocommutative weak graded Hopf algebra under some additional condition. It has a homomorphic image which is isomorphic to the usual quantum enveloping algebra \(U_{q}(\mathcal{G})\) of \(\mathcal{G}\).

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Authors and Affiliations

  1. Mathematics Department, Zhejiang University, Hangzhou, 310027, PR China

    Zhixiang Wu

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  1. Zhixiang Wu
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Correspondence to Zhixiang Wu.

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The author is sponsored by ZJNSF No. Y607136. He is also sponsored by the Scientific Research Foundation of Zhejiang Provincial Education Department.

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Wu, Z. Some Graded Bialgebras Related to Borcherds Superalgebras. Int J Theor Phys 50, 1220–1244 (2011). https://doi.org/10.1007/s10773-010-0402-6

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  • DOI: https://doi.org/10.1007/s10773-010-0402-6

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