The names of the notes in the A sharp Major scale are: A♯ B♯ C♯♯ D♯ E♯ F♯♯ G♯♯

A sharp Major scale in most common clefs
Here is A sharp Major in most common clefs: treble clef, bass clef, tenor clef and alto clef.
A sharp Major scale in treble clef (G-clef)
Below is the A sharp Major scale in treble clef:

A sharp Major scale in bass clef
Below is the A sharp Major scale in bass clef:

A sharp Major scale in alto clef
Below is the A sharp Major scale in alto clef:

A sharp Major scale in tenor clef
Below is the A sharp Major scale in tenor clef:

Scale degrees of A sharp major
The degrees of A sharp major scale are:
A♯ : degree I (Tonic)
B♯ : degree II (Supertonic)
C♯♯ : degree III (Mediant)
D♯ : degree IV (Subdominant)
E♯♯ : degree V (Dominant)
F♯ : degree VI (Submediant)
G♯♯ : degree VII (Leading Tone)
Leading Tone of A sharp Major
The leading Tone of A sharp Major is G double sharp, because G double sharp is the degree VII and is distant to a seventh major of the tonic, or an half step
Chords of A sharp major scale
Here are triad chords for A sharp Major scale:
Chord I : A♯ Major (Notes: A♯ C♯♯ E♯)
Chord II : B♯ minor (Notes: B♯ D♯ F♯♯)
Chord III : C♯♯ minor (Notes: C♯♯ E♯ G♯♯)
Chord IV : D♯ Major (Notes: D♯ F♯♯ A♯)
Chord V : E♯ Major (Notes: E♯ G♯♯ B♯)
Chord VI : F♯♯ minor (Notes: F♯♯ A♯ C♯♯)
Chord VII : G♯♯ diminished (Notes: G♯♯ B♯ D♯)