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Relating signed and classical Kazhdan-Lusztig polynomials - MaRDI portal

Relating signed and classical Kazhdan-Lusztig polynomials (Q742564)

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Relating signed and classical Kazhdan-Lusztig polynomials
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    Relating signed and classical Kazhdan-Lusztig polynomials (English)
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    18 September 2014
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    In this paper it is shown that signed Kazhdan-Lusztig polynomials are ordinary Kazhdan-Lusztig polynomials evaluated at \(-q\) and multiplied by a sign. This implies a signature character inversion formula and has applications to finding the unitary dual for real reductive Lie groups.
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    Kazhdan-Lusztig polynomial
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    signature
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    Jantzen filtration
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