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Kazhdan–Lusztig Polynomials of Parabolic Type

✍ Scribed by Hiroyuki Tagawa

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
253 KB
Volume
200
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

Explicit Formulae for Some Kazhdan–Luszt
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✍ Michela Pagliacci 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 134 KB

We consider the Kazhdan Lusztig R-polynomials, R u, v (q) indexed by permutations ``u, v'' having particular forms. More precisely, we show that R e, 34 } } } n12 (q) (where ``e'' denotes the identity permutation) equals, aside from a simple change of variable, a q-analogue of the Fibonacci number,

Upper and Lower Bounds for Kazhdan–Luszt
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✍ F. Brenti 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 221 KB

We give upper and lower bounds for the Kazhdan-Lusztig polynomials of any Coxeter group W . If W is finite we prove that, for any k ≥ 0, the kth coefficient of the Kazhdan-Lusztig polynomial of two elements u, v of W is bounded from above by a polynomial (which depends only on k) in l(v)l(u). In par