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- W2028132003 abstract "The main aim of this paper is to relate almost split sequences to singularity theory by showing that the McKay quiver built from the finite-dimensional representations of a finite subgroup <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding=application/x-tex>G</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G upper L left-parenthesis 2 comma bold upper C right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>GL</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=bold>C</mml:mi> </mml:mrow> </mml:mrow> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>operatorname {GL} (2,{mathbf {C}})</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=bold upper C> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=bold>C</mml:mi> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>{mathbf {C}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is the complex numbers, is isomorphic to the <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A upper R> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mi>R</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>AR</mml:annotation> </mml:semantics> </mml:math> </inline-formula> quiver of the reflexive modules of the quotient singularity associated with <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding=application/x-tex>G</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W2028132003 date "1986-01-01" @default.
- W2028132003 modified "2023-10-11" @default.
- W2028132003 title "Rational singularities and almost split sequences" @default.
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