It depends on what these invariant quantities are. It is not enough to specify that something is invariant, you also need to specify under which operation these quantities do not change (= are invariant).
In special relativity there is an operation called a Lorentz transformation which applies the effects of a speed increase, thus applying time dilatation and length contraction. A Lorentz invariant quantity is a quantity which remains the same under this transformation, i.e. it has the same value for every observer in an inertial frame.
Examples of such invariants are the lengths of four-vectors, the generalizations of the common 3-dimensional vectors such as those indicating place and momentum. For example the 3d-vector for location (x,y,z) is joined with another quantity for the time dimension into a 4-vector whose length is Lorentz invariant. There are more Lorentz invariant quantities, some of them quite complex.
In special relativity, the invariant quantities, such as the speed of light and the spacetime interval, remain the same for all observers. This means that these quantities do not change regardless of the relative motion between observers. It is a fundamental principle of special relativity that these invariants are preserved in all inertial reference frames.
The invariant quantities such as angular momentum, linear momentum and possibly energy (although that is generally considered thermodynamics) are all still conserved in special relativity. What does happen however is that the equations for these invariants do change. For example, linear momentum according to Newton is simply mass times velocity but in Einstein's theory it becomes mass times velocity times a new thing called the gamma factor (which is almost equal to unity at low velocities so Newton did not detect it, but becomes very large close to the speed of light (the gamma factor is infinite at the speed of light)). Special relativity also predicts the existence of spin which is related to angular momentum, but spin does not exist in Newton's theory.
what are the major predictions of the special theory of relativity
The theorizer of relativity would be Albert Einstein. Einstein's theory of relativity consisted of special relativity and general relativity. It has to do with relative measurements of quantities to observes, like space contracts and time dilates. Space time was a concept of relativity. The speed of lights invariance was also a part of the theory.
At least special theory of relativity was published 1905
That's part of the Special Theory of Relativity - published 1905.That's part of the Special Theory of Relativity - published 1905.That's part of the Special Theory of Relativity - published 1905.That's part of the Special Theory of Relativity - published 1905.
Galilean Relativity - Galileo Galilei Special and General Relativity - Albert Einstein
The Theory of Special Relativity was published in 1905. General Relativity was published in 1915.
The scientific Theories of General and Special Relativity were first proposed by Albert Einstein.Special Relativity in 1906 and General Relativity in 1916.
Galileo Galile wrote "the Theory of Relativity", and Einstein wrote the General theory of relativity and the special theory of relativity.
E=mc^2 Edit : That equation is part of "special relativity" not "general relativity".
E=mc^2 is born because of special relativity.
Special relativity can be used to study an object in physical events.