B. Leclerc

activity

19972004

most citedDual canonical bases, quantum shuffles and q-characters

5 citations · 5 across the 3 of their papers we have counts for

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math.QA2002★ 5 cited

Dual canonical bases, quantum shuffles and q-characters

Bernard Leclerc

Rosso and Green have shown how to embed the positive part $U_{q} (n)$ of a quantum enveloping algebra $U_{q} (g)$ in a quantum shuffle algebra. In this paper we study some properties of…

math.QA2002

Imaginary vectors in the dual canonical basis of $U_{q} (n)$

Bernard Leclerc

Let $n$ be the maximal nilpotent subalgebra of a simple complex Lie algebra $g$ . We introduce the notion of imaginary vector in the dual canonical basis of $U_{q} (n)$ , and we give ex…

Dual canonical bases, quantum shuffles and q-characters

Imaginary vectors in the dual canonical basis of Uq​(n)

Imaginary vectors in the dual canonical basis of $U_{q} (n)$