Journal of Combinatorial Algebra


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Volume 1, Issue 1, 2017, pp. 45–57
DOI: 10.4171/JCA/1-1-2

Published online: 2016-12-13

The canonical basis of the quantum adjoint representation

George Lusztig[1]

(1) MIT, Cambridge, USA

We identify the canonical basis of the quantum adjoint representation of a quantized enveloping algebra with a basis that we defined before the theory of canonical bases was available.

Keywords: Quantum group, canonical basis, Chevalley group

Lusztig George: The canonical basis of the quantum adjoint representation. J. Comb. Algebra 1 (2017), 45-57. doi: 10.4171/JCA/1-1-2