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- W2338056522 abstract "We will consider a two dimensional “symmetric” subfamily of the four dimensional family of Fricke cubic surfaces. The main result is that such symmetric cubic surfaces arise as character varieties for the exceptional group of type <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G 2> <mml:semantics> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:annotation encoding=application/x-tex>G_2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Further, this symmetric family will be related to the fixed points of the triality automorphism of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S p i n left-parenthesis 8 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>Spin</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mn>8</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>operatorname {Spin}(8)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, and an example involving the finite simple group of order <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=6048> <mml:semantics> <mml:mn>6048</mml:mn> <mml:annotation encoding=application/x-tex>6048</mml:annotation> </mml:semantics> </mml:math> </inline-formula> inside <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G 2> <mml:semantics> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:annotation encoding=application/x-tex>G_2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> will be considered." @default.
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- W2338056522 date "2016-04-06" @default.
- W2338056522 modified "2023-09-25" @default.
- W2338056522 title "Symmetric cubic surfaces and 𝐆₂ character varieties" @default.
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- W2338056522 doi "https://doi.org/10.1090/jag/668" @default.
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