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Results tagged with unitary-representations
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user 31736
4
votes
2
answers
320
views
Proper subgroups of $\rm{SU}(d)$ that act transitively on $\rm{CP}^{d-1}$?
The special unitary group $\rm{SU}(d)$ has a canonical action on the Hilbert space of dimension $d$, and this action induces a canonical action on the projective space $\rm{CP}^{d-1}$, which is transi …
- 241
7
votes
1
answer
567
views
Faithful representation of the projective unitary group with the lowest dimension?
What is the lowest dimension of a faithful ordinary representation (as compared with projective representation) of the projective unitary group $\rm{PU}(d)$? Is it $d^2-1$?
- 241