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Equivalent Notions of Normal Quantum Subgroups, Compact Quantum Groups with Properties F and FD, and Other Applications | | Shuzhou Wang
; | | Date: |
8 Mar 2013 | | Abstract: | It is shown that the notion of normal quantum subgroup introduced in purely
algebraic context by Parshall and Wang when applied to compact quantum groups
is equivalent to the notion of normal quantum subgroup introduced by the
author. As applications, we obtain a quantum analog of the third fundamental
isomorphism theorem for groups, which is used along with the above equivalence
theorem to obtain general results on quantum groups with property F and quantum
groups with property FD. Other results on normal quantum subgroups for tensor
products, free products and crossed products are also proved. | | Source: | arXiv, 1303.1878 | | Services: | Forum | Review | PDF | Favorites | |
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