TY - JOUR
T1 - Double-bosonization and majid's conjecture, (I)
T2 - Rank-inductions of ABCD
AU - Hu, Hongmei
AU - Hu, Naihong
N1 - Publisher Copyright:
© 2015 AIP Publishing LLC.
PY - 2015/11/1
Y1 - 2015/11/1
N2 - Majid developed in [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)] the double-bosonization theory to construct Uq(g) and expected to generate inductively not just a line but a tree of quantum groups starting from a node. In this paper, the authors confirm Majid's first expectation (see p. 178 [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)]) through giving and verifying the full details of the inductive constructions ofUq(g) for the classical types, i.e., the ABCD series. Some examples in low ranks are given to elucidate that any quantum group of classical type can be constructed from the node corresponding to Uq(sl2).
AB - Majid developed in [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)] the double-bosonization theory to construct Uq(g) and expected to generate inductively not just a line but a tree of quantum groups starting from a node. In this paper, the authors confirm Majid's first expectation (see p. 178 [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)]) through giving and verifying the full details of the inductive constructions ofUq(g) for the classical types, i.e., the ABCD series. Some examples in low ranks are given to elucidate that any quantum group of classical type can be constructed from the node corresponding to Uq(sl2).
UR - https://www.scopus.com/pages/publications/84947465867
U2 - 10.1063/1.4935205
DO - 10.1063/1.4935205
M3 - 文章
AN - SCOPUS:84947465867
SN - 0022-2488
VL - 56
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 11
M1 - 111702
ER -