Article ID Journal Published Year Pages File Type
4598286 Journal of Pure and Applied Algebra 2007 16 Pages PDF
Abstract

We compute the automorphism group of the qq-enveloping algebra Uq(sl4+) of the nilpotent Lie algebra of strictly upper triangular matrices of size 4. The result obtained gives a positive answer to a conjecture of Andruskiewitsch and Dumas. We also compute the derivations of this algebra and then show that the Hochschild cohomology group of degree 1 of this algebra is a free (left) module of rank 3 (which is the rank of the Lie algebra sl4sl4) over the center of Uq(sl4+).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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