Long time no see :). So I was wondering if the scalar k in exer. 7.33 and text p.145 can be a complex scalar. A few example shows that it should be in complex...
Just curious by exer. 7.44, I think it is true that: T_a T_b T_c = T_a (T_b T_c) = T_a T_bc But I am not sure whether T_a T_b T_c = (T_a T_b) T_c. I think it...
... I think I remember seeing somewhere that these fractional linear transformations are a group: not surprising, I guess, seeing how SL2 (R)/GL2(R) are groups...
hmm I live in Richmond Hill, so it takes quite a while for me to come to school during rush hour. So I am worried about I may not be able to arrive at the...
I was curious to know if you will be at UTSC on either Monday or Tuesday of next week I was looking thru my notes and I realized that at the beginning of the...
I was looking at Cor 7.6.6 and I was curious ... If gamma belongs to GL2(R) is gamma a Direct isom provided det gamma > 0 since k*gamma = gamma for any scalar...
I was curious to know ... many of the theorems in the text deal with matricies in GL2(R) and SL2(R) ... one of the main theorems is ironically a corollary...
... I am kind of confused about your question. Well, if gamma in GL2(R) has positive determinant, then it is a direct isometry. ... No. You need to get back...
... The given map from H to D is an isometry because we use a metric on D which is the pushforward of the metric on H. In fact, since the map phi: H --> D is a...
... was a ... to be ... Kinda ... two circles. ... intersection point. ... I was looking at that question today (7.79) and I'm somewhat stuck trying to figure...
The map Psi from H to D is not an isometry at all since Isometries are maps which map to the same space. Since H and D are not the same space, psi isnt an...
... are ... about ... deal with ... determine ... NO such ... How do we ... on ... theorems // ... called ... reason why I ... whether or ... information ... ...
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