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P-kernels, IC bases and Kazhdan–Lusztig polynomials

✍ Scribed by Francesco Brenti

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
143 KB
Volume
259
Category
Article
ISSN
0021-8693

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✦ Synopsis

Stanley introduced the concept of a P -kernel for any locally finite partially ordered set P . In [Proc. Sympos. Pure Math.,

📜 SIMILAR VOLUMES

Upper and Lower Bounds for Kazhdan–Luszt
Upper and Lower Bounds for Kazhdan–Lusztig Polynomials
✍ 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