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march 2017 A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)
Nicolás Andruskiewitsch, Iván Angiono, Fiorela Rossi Bertone
Bull. Belg. Math. Soc. Simon Stevin 24(1): 15-34 (march 2017). DOI: 10.36045/bbms/1489888813

Abstract

Let Bq be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix qkθ×θ. Let Lq be the Lusztig algebra associated to Bq. We present Lq as an extension (as braided Hopf algebras) of Bq by Zq where Zq is isomorphic to the universal enveloping algebra of a Lie algebra nq. We compute the Lie algebra nq when θ=2.

Citation

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Nicolás Andruskiewitsch. Iván Angiono. Fiorela Rossi Bertone. "A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)." Bull. Belg. Math. Soc. Simon Stevin 24 (1) 15 - 34, march 2017. https://doi.org/10.36045/bbms/1489888813

Information

Published: march 2017
First available in Project Euclid: 19 March 2017

zbMATH: 06751306
MathSciNet: MR3625784
Digital Object Identifier: 10.36045/bbms/1489888813

Subjects:
Primary: 16T20 , 17B37

Rights: Copyright © 2017 The Belgian Mathematical Society

Vol.24 • No. 1 • march 2017
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