Modular forms on $${{\,\textrm{SU}\,}}(2,1)$$ with weight $$\frac{1}{3}$$
Modular forms on $${{\,\textrm{SU}\,}}(2,1)$$ with weight $$\frac{1}{3}$$
Abstract In this note, we describe several new examples of holomorphic modular forms on the group $${{\,\textrm{SU}\,}}(2,1)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow> <mml:mspace /> <mml:mtext>SU</mml:mtext> <mml:mspace /> </mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> . These forms are distinguished by having weight $$\frac{1}{3}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>3</mml:mn> </mml:mfrac> </mml:math> …