Yes
The Lakers play at Staples Center is it's capacity for a Lakers game is 18,997.
The LA Lakers are called the "Lakers" because they first originated from Minnesota (The Minneapolis Lakers). Minnesota is commonly known as "Land of 10,000 Lakes" which gives the team the name "Lakers"
Tickets for home games with the LA Lakers could be purchased at a local arena or with a local ticket holder. But perhaps best, would be to order the tickets directly from the official LA Lakers website.
The average home game attendance for the LA Lakers during the 2007 - 2008 season was 18,997 fans (11th in the league).
More accurately, the LA Lakers used to be in Minneapolis. One of the nicknames of the city of Minneapolis is the "City of Lakes" due to chain of parks and lakes within city limits. Thus the former team name the "Minneapolis Lakers" which converted easily to the "LA Lakers" when the team moved, since the name Lakers starts with "LA".
The lakers used to be in minnosota and moved to LA after the clippers had started. So the clippers are first
Staples Center
they are representing their team.
The Staples Center in Los Angeles.
LA Lakers
The LA Lakers don't have an official mascot at this time.