Abel Lacabanne

activity

20182026

most citedDrinfeld double of quantum groups, tilting modules and

Z

-modular data associated to complex reflection groups

2 citations · 4 across the 6 of their papers we have counts for

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math.RT2026

On the computation of the canonical basis for irreducible highest weight $U_{q} (gl_{\infty})$ -modules

Nicolas Jacon, Abel Lacabanne

We study canonical basis elements in higher-level Fock spaces associated with the quantum group $U_{q} (gl_{\infty})$ , which are conjecturally related to Calogero-Moser theor…

math.RT2022

On Calogero-Moser cellular characters for imprimitive complex reflection groups

Nicolas Jacon, Abel Lacabanne

We study the relationship between Calogero-Moser cellular characters and characters defined from vectors of a Fock space of type $A_{\infty}$ . Using this interpretation, we show th…

math.RT2020★ 1 cited

On a conjecture about cellular characters for the complex reflection group $G (d, 1, n)$

Abel Lacabanne

We propose a conjecture relating two different sets of characters for the complex reflection group $G (d, 1, n)$ . From one side, the characters are afforded by Calogero-Moser cells, a…

On the computation of the canonical basis for irreducible highest weight Uq​(gl∞​)-modules

On Calogero-Moser cellular characters for imprimitive complex reflection groups

On a conjecture about cellular characters for the complex reflection group G(d,1,n)

On the computation of the canonical basis for irreducible highest weight $U_{q} (gl_{\infty})$ -modules

On a conjecture about cellular characters for the complex reflection group $G (d, 1, n)$