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Dergiler / International Electronic Journal of Algebra / 2009 / Volume: 6 Issue: 6

WEAK HOPF ALGEBRA DUALITY IN WEAK YETTER-DRINFELD CATEGORIES AND APPLICATIONS

Bing-liang Shen
Shuan-hong Wang
Sayfa
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Yayın Tarihi
2009-12-01
DOI
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Also we will apply above result to the representations category Rep(L) = LM of a quasitriangular weak Hopf algebra L.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let L be a weak Hopf algebra with a bijective antipode SL in the sense of [3].
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Temel Bulgular & Veri:In this paper we show that if H is a finite-dimensional weak Hopf algebra in the weak Yetter-Drinfeld category L LWYD in the sense of [1], then its dual H∗ is also a weak Hopf algebra in L LWYD.
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Sonuç & Katkı:Also we will apply above result to the representations category Rep(L) = LM of a quasitriangular weak Hopf algebra L.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Weak Hopf algebra · weak Yetter-Drinfeld categories · weak (co)module (co)algebras

Abstract

Let L be a weak Hopf algebra with a bijective antipode SL in the sense of [3]. In this paper we show that if H is a finite-dimensional weak Hopf algebra in the weak Yetter-Drinfeld category L LWYD in the sense of [1], then its dual H∗ is also a weak Hopf algebra in L LWYD. Also we will apply above result to the representations category Rep(L) = LM of a quasitriangular weak Hopf algebra L.

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Bu Makaleye Atıf Yap

Shen, B., Wang, S. (2009). WEAK HOPF ALGEBRA DUALITY IN WEAK YETTER-DRINFELD CATEGORIES AND APPLICATIONS. International Electronic Journal of Algebra, Volume: 6 Issue: 6. https://ajindex.com/articles/1588323

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Kaynakça (13)

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  12. M. Sweedler, Hopf Algebras, Benjamin, New York, 1969.
  13. Bing-liang Shen and Shuan-hong Wang Department of Mathematics Southeast University Nanjing, Jiangsu 210096, P. R. of China e-mail: [email protected] (B.L. Shen), [email protected] (S.H. Wang)