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Carlo Beenakker
Carlo Beenakker
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There are two types of parabolic Kazhdan Lusztig polynomials, namely, of type -1: $P_{x,w}^{I,-1}$ and of type $q$: $P_{x,w}^{I,q}$. See KAZHDAN–LUSZTIG ANDKazhdan–Lusztig and R-POLYNOMIALSPolynomials, YOUNG’S LATTICEYoung’s Lattice, AND DYCK PARTITIONSand Dyck Partitions

My question: What is the meaning of $-1$ and $q$?

There are two types of parabolic Kazhdan Lusztig polynomials, namely, of type -1: $P_{x,w}^{I,-1}$ and of type $q$: $P_{x,w}^{I,q}$. See KAZHDAN–LUSZTIG AND R-POLYNOMIALS, YOUNG’S LATTICE, AND DYCK PARTITIONS

My question: What is the meaning of $-1$ and $q$?

There are two types of parabolic Kazhdan Lusztig polynomials, namely, of type -1: $P_{x,w}^{I,-1}$ and of type $q$: $P_{x,w}^{I,q}$. See Kazhdan–Lusztig and R-Polynomials, Young’s Lattice, and Dyck Partitions

My question: What is the meaning of $-1$ and $q$?

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YCor
YCor
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James Cheung
James Cheung
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About parabolic Kazhdan Lusztig polynomials

There are two types of parabolic Kazhdan Lusztig polynomials, namely, of type -1: $P_{x,w}^{I,-1}$ and of type $q$: $P_{x,w}^{I,q}$. See KAZHDAN–LUSZTIG AND R-POLYNOMIALS, YOUNG’S LATTICE, AND DYCK PARTITIONS

My question: What is the meaning of $-1$ and $q$?