Conformal embedding and twisted theta functions at level one

Mukhopadhyay, Swarnava; Zelaci, Hacen

doi:10.1090/proc/14695

Conformal embedding and twisted theta functions at level one
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Proc. Amer. Math. Soc. 148 (2020), 9-22 Request permission

Abstract:

In this paper, we consider the conformal embedding of $\mathfrak {so}(r)$ into $\mathfrak {sl}(r)$ and study relations between level one $\operatorname {SO}(r)$-theta functions and twisted $\operatorname {SL}(r)$-theta functions coming from parahoric moduli spaces. In particular, we give another proof of a theorem by Pauly-Ramanan [J. London Math. Soc. (2) 63 (2001), pp. 513–532].

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