科研之友
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摘要
We resolve a question of Kac and explain the automorphic properties of characters due to Kac-Wakimoto pertaining to sl(m vertical bar n)%26lt;^%26gt; highest weight modules, for n %26gt;= 1. We prove that the Kac-Wakimoto characters are essentially holomorphic parts of certain generalizations of harmonic weak Maass forms which we call %26quot;almost harmonic Maass forms%26quot;. Using a new approach, this generalizes prior work of the first author and Ono, and the authors, both of which treat only the case n = 1. We also provide an explicit asymptotic expansion for the characters.
- 出版日期2014-9
