Action of U_q(g) on Its Positive Part U_q~+(g) |
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Authors: | Zhi Hua WANG Li Bin LI .School of Mathematics Yangzhou University Jiangsu P.R.China |
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Affiliation: | Zhi Hua WANG 1,2,Li Bin LI 1 1.School of Mathematics,Yangzhou University,Jiangsu 225002,P.R.China,2.Department of Mathematics,Taizhou College,Nanjing Normal University,Jiangsu 225300 |
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Abstract: | In this paper,two kinds of skew derivations of a type of Nichols algebras are intro- duced,and then the relationship between them is investigated.In particular they satisfy the quantum Serre relations.Therefore,the algebra generated by these derivations and correspond- ing automorphisms is a homomorphic image of the Drinfeld-Jimbo quantum enveloping algebra U q (g),which proves the Nichols algebra becomes a U q (g)-module algebra.But the Nichols alge- bra considered here is exactly U + q (g),namely,the posi... |
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Keywords: | Nichols algebra Yetter-Drinfeld module skew derivation quantum group |
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