Imaginary crystal bases for U_q(\widehat\mathfraksl(2))-modules in category \mathcal O^q_red,im

2018/12/04 by Cox, Ben, Futorny, Vyacheslav, Misra, Kailash C.
#17B15 #17B37 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1812.02313

Abstract

Recently we defined imaginary crystal bases for U_q(\widehat\mathfraksl(2))- modules in category \mathcal O^q_red,im and showed the existence of such bases for reduced quantized imaginary Verma modules for U_q(\widehat\mathfraksl(2)). In this paper we show the existence of imaginary crystal basis for any object in the category \mathcal O^q_red,im.

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