The Catcher in the Rye: Jane Gallagher

I'm starting to realize why Holden was so mad at his roommate for joking about having sex with Jane Gallagher; he is in love with her. Or he likes her very much, at least. According to Holden, he and Jane had spent a summer in Maine together  and had grown very close. Holden says, "She was the only one, outside my family, that I ever showed Allie's baseball mitt to, with al the poems written on it." This seems like quite a big deal because I'm sure this mitt means a lot to Holden. It had belonged to his brother, whom he loved very muc judging by the way and frequency of how he talks about him.  Holden brings up the mitt quite a lot too, showing it's importance. He thinks about Jane more than either one of them though; and this makes sense because she is a living being that he can really interact with. It seems strange; however, that after close the two seem to be after that summer, Holden wouldn't simply go say hello to her in the lobby before she and Stradlater went on their date. In his thoughts, he say they were best friends, and possibly even more. He sees and knows so much about her, but he is too hy to go speak with her? This makes me curious about their relationhip. They might have had a falling out or maybe just haven't spoken in a while. The rest of the book will hopefully reveal this mystery.