Is there a generation Y, what sign rules it?

Generation X was 1979-1997

Yes there is a Generation Y-

Generation Y is also known as Generation Next, Millennials, or Echo Boomers.[24] The earliest suggested birth dates ranging from mid to late 1970s to the latest in the early 2000s.[15][16][17][18][19][25][26][27][2 Today, many follow William Strauss and Neil Howe