caa a22 4500 46909995X CHVBK 20180323133042.0 cr unu---uuuuu 170328e19920801xx s 000 0 eng 10.1007/BF00398404 doi (NATIONALLICENCE)springer-10.1007/BF00398404 Zhang R. Mathematics Research Section Institute for Advanced Studies, Australian National University, Canberra, Australia aut Finite-dimensional representations of U q (osp(1/2 n )) and its connection with quantum so(2 n +1) [Elektronische Daten] [R. Zhang] It is shown that the quantum supergroup U q (osp(1/2n)) is essentially isomorphic to the quantum group U -q (so(2n+1)) restricted to tensorial representations. This renders it straightforward to classify all the finite-dimensional irreducible representations of U q (osp(1/2n)) at generic q. In particular, it is proved that at generic q, every-dimensional irrep of this quantum supergroup is a deformation of an osp(1/2n) irrep, and all the finite-dimensional representations are completely reducible. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 25/4(1992-08-01), 317-325 0377-9017 25:4<317 1992 25 11005 https://doi.org/10.1007/BF00398404 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00398404 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhang R. Mathematics Research Section Institute for Advanced Studies, Australian National University, Canberra, Australia aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 25/4(1992-08-01), 317-325 0377-9017 25:4<317 1992 25 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer