caa a22 4500 469099704 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF00398810 doi (NATIONALLICENCE)springer-10.1007/BF00398810 Fundamental representations of quantum groups at roots of 1 [Elektronische Daten] [Vyjayanthi Chari, Andrew Pressley] To every finite-dimensional irreducible representation V of the quantum group Uε(g) where ε is a primitive lth root of unity (l odd) and g is a finite-dimensional complex simple Lie algebra, de Concini, Kac and Procesi have associated a conjugacy class C V in the adjoint group G of g. We describe explicitly, when g is of type A n , B n , C n , or D n , the representations associated to the conjugacy classes of minimal positive dimension. We call such representations fundamental and prove that, for any conjugacy class, there is an associated representation which is contained in a tensor product of fundamental representations. Kluwer Academic Publishers, 1992 Chari Vyjayanthi Department of Mathematics, University of California, 92521, Riverside, CA, U.S.A. aut Pressley Andrew Department of Mathematics, King's College, Strand, WC2R 2LS, London, England, U.K. aut Letters in Mathematical Physics Kluwer Academic Publishers 26/2(1992-10-01), 133-146 0377-9017 26:2<133 1992 26 11005 https://doi.org/10.1007/BF00398810 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00398810 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chari Vyjayanthi Department of Mathematics, University of California, 92521, Riverside, CA, U.S.A aut NATIONALLICENCE 700 1- Pressley Andrew Department of Mathematics, King's College, Strand, WC2R 2LS, London, England, U.K aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 26/2(1992-10-01), 133-146 0377-9017 26:2<133 1992 26 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer