Unipotent Quantum Coordinate Ring and Prefundamental Representations for Types <i>A</i>n(1) and <i>D</i>n(1)
نویسندگان
چکیده
Abstract We give a new realization of the prefundamental representations $L^\pm _{r,a}$ introduced by Hernandez and Jimbo, when quantum loop algebra $U_q(\mathfrak {g})$ is types $A_n^{(1)}$ $D_n^{(1)}$ $r$-th fundamental weight $\varpi _r$ for $A_n$ $D_n$ minuscule. define an action Borel subalgebra {b})$ on unipotent coordinate ring associated to translation $-\varpi show that it isomorphic _{r,a}$. then combinatorial $L^+_{r,a}$ in terms Lusztig data dual PBW vectors.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab283