Casselman’s Basis of Iwahori Vectors and Kazhdan–Lusztig Polynomials
نویسندگان
چکیده
منابع مشابه
Representations with Iwahori-fixed vectors
• Generic algebras • Strict Iwahori-Hecke algebras • Representations with Iwahori-fixed vectors • Proof of the Borel-Matsumoto theorem • Irreducibility criteria Using the ideas of [Casselman 1980] descended from the Borel-Matsumoto theorem on admissible representations of p-adic reductive groups containing Iwahori-fixed vectors, it is possible to give an easily verifiable sufficient criterion f...
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For the case of Bernstein polynomials the re nement mask is calculated recursively and the re nement matrices are given explicitely Moreover the eigenvectors of the transposed re nement matrices are constructed whereas the eigenvectors of the re nement matrices themselves can be determined by a theorem of Micchelli and Prautzsch INTRODUCTION Let n N and let b t b t bn t T be a vector of uniform...
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Let p(x) be a polynomial of degree 4 with four distinct real roots r1 < r2 < r3 < r4. Let x1 < x2 < x3 be the critical points of p, and define the ratios σk = xk − rk rk+1 − rk , k = 1, 2, 3. For notational convenience, let σ1 = u, σ2 = v, and σ3 = w. (u, v, w) is called the ratio vector of p. We prove necessary and sufficient conditions for (u, v, w) to be a ratio vector of a polynomial of deg...
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We use the results on the minimal basis of the centre of an Iwahori-Hecke algebra from our earlier work, as well as some additional results on the minimal basis, to describe the image and kernel of the Brauer homomorphism defined by L. Jones for Iwahori-Hecke algebras of type A.
متن کاملThe Brauer Homomorphism and the Minimal Basis for Centers of Iwahori–hecke Algebras of Type A∗
We use the results on the minimal basis of the centre of an Iwahori–Hecke algebra from our earlier work, as well as some additional results on the minimal basis, to describe the image and kernel of the Brauer homomorphism for Iwahori–Hecke algebras defined by L. Jones (Jones, L. Centres of Generic Hecke Algebras; Ph.D. Thesis; University of Virginia, 1987.).
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2019
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2018-011-1