Open AccessA geometric setting for quantum 𝔬𝔰𝔭(1|2)
Author(s) -
Fan Zhang,
Yiqiang Li
Publication year - 2015
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-2015-06266-7
Subject(s) - algorithm , artificial intelligence , german , computer science , philosophy , linguistics
A geometric categorification is given for arbitrary-large-finite- dimensional quotients of quantum o s p ( 1 | 2 ) \mathfrak {osp}(1|2) and tensor products of its simple modules. The modified quantum o s p ( 1 | 2 ) \mathfrak {osp}(1|2) of Clark-Wang, a new version in this paper and the modified quantum s l ( 2 ) \mathfrak {sl}(2) are shown to be isomorphic to each other over a field containing Q ( v ) \mathbb Q(v) and − 1 \sqrt {-1} .