The hints to what is happening when SS amps attempt to drive too low impedance speakers is in the first paragraph of Roger Russell's linked text. There he notes that excessive heat dissipation happens when you get a mis-match of the amp's impedance relative to the impedance of the speaker at any specific frequency.
Here's the first paragraph from the link:
"Transistor power output circuits can match 8-ohm loads directly. This eliminates the need for the output transformer for most manufacturers. However, output stages that are designed to operate into an optimum load of 8 ohms can double or quadruple heat dissipation when operating into 4 or 2 ohm loads. At some frequencies, speakers rated at 8 ohms can dip as low as 4 ohms. Some 4-ohm systems can dip even lower. This mismatch can cause the amplifier to exceed its thermal dissipation limits."
What this involves is efficiency in the transfer of power from the amp to the speaker. When there is not an efficient transfer of power, the excess power is converted to heat in the amp - mentioned by Roger above. The output autoformers are designed to ensure that the output stage of the amp 'sees' a relatively constant impedance and, therefore, can supply current to match that impedance. This why there are multiple taps on an autoformer for you to 'match' your speakers to the Mac amp. It also explains why trying to run a set of 3-4 ohm speakers on a solid state amp will likely send it into thermal shutdown, depending on how hard you run it.
Autoformers: Read more details here:
http://www.answers.com/topic/autotransformer
From this link, the difference in an autoformer/autotransformer is that there is no electical isolation between the primary and secondary windings. In a transformer, the primary and secondary windings are fully isolated, electrically but are coupled with magnetic fields. This is why you will only find transformers on the output of tube amps in order to isolate the 300-600 vDC from frying your speakers - and yourself if you touched the terminals!
I hope that helps the clarification a bit.
Cheers,
David