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- W2034873961 abstract "An explicit geometric description of certain components of Springer fibers for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S upper L left-parenthesis n comma upper C right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>L</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>n</mml:mi> <mml:mo>,</mml:mo> <mml:mi>C</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>SL(n,C)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> s given in this article. These components are associated to closed <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S left-parenthesis upper G upper L left-parenthesis p right-parenthesis times upper G upper L left-parenthesis q right-parenthesis right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>G</mml:mi> <mml:mi>L</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>×<!-- × --></mml:mo> <mml:mi>G</mml:mi> <mml:mi>L</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>q</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>S(GL(p)times GL(q))</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-orbits in the flag variety. The geometric results are used to compute the associated cycles of the discrete series representations of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S upper U left-parenthesis p comma q right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>SU(p,q)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. A discussion of an alternative, and more general, computation of associated cycles is given in the appendix." @default.
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- W2034873961 date "2008-10-30" @default.
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- W2034873961 title "Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)" @default.
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- W2034873961 doi "https://doi.org/10.1090/s1088-4165-08-00311-7" @default.
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