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An Identity of Parabolic Kazhdan-Lusztig Polynomials Arising From Square-irreducible Modules

We show a precise formula, in the form of a monomial, for certain families of parabolic Kazhdan–Lusztig polynomials of the symmetric group. The proof stems from results of Lapid–Mínguez on irreducibility of products in the Bernstein–Zelevinski ring. By quantizing those results into a statement on quantum groups and their canonical bases, we obtain identities of coefficients of certain transition matrices that relate Kazhdan–Lusztig polynomials to their parabolic analogues. This affirms some basic cases of conjectures raised recently by Lapid.

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Informasi Detail

Judul Seri

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; Vol.110 Issue 1 February 2021

No. Panggil

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Penerbit

: .,

Deskripsi Fisik

p. 81 - 93

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

KAZHDAN–LUSZTIG POLYNOMIALS
CANONICAL BASIS
AFFINE HECKE ALGEBRAS

Info Detail Spesifik

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Pernyataan Tanggungjawab

Maxim Gurevich

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