✦ LIBER ✦

Variation on a theme of Solomon

✍ Scribed by Ethan Reiner

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 315 KB
Volume: 193
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(98)00144-7

No coin nor oath required. For personal study only.

✦ Synopsis

Let W be a Coxeter group with degrees dl .... ,dn. Solomon (1966) uses an inductive argument on the rank of W to prove the formula

where #(w) denotes the minimum number of simple reflections required to express w. We provide a new proof of this fact using the theory of orbit harmonics developed in Garsia and Haiman (1992). At the same time, we give a brief review of some relevant classical results about finite reflection groups. (~) 1998 Elsevier Science B.V. All fights reserved

📜 SIMILAR VOLUMES

Variation on a Theme

✍ Barbara Delinsky 📂 Fiction 📅 2014 🏛 HarperCollins e-Books 🌐 English ⚖ 148 KB 👁 2 views

*New York Times* bestselling author Barbara Delinsky enthralls millions of readers with emotionally powerful stories that vividly demonstrate the heart's, power to love. Here, first published in 1984, is an unforgettable story of a woman who must discover who she is before she can give herself to th

Variation on a theme of Jacobi

✍ H. P. McKean 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 418 KB 👁 1 views

Variation on a theme of Schütte

✍ Gerhard Jäger; Dieter Probst 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 125 KB 👁 1 views

## Abstract Let ≺ be a primitive recursive well‐ordering on the natural numbers and assume that its order‐type is greater than or equal to the proof‐theoretic ordinal of the theory T. We show that the proof‐theoretic strength of T is not increased if we add the negation of the statement which forma

A variation on a theme of Vasconcelos

✍ Daniel A. Smith 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 92 KB

provides necessary and sufficient conditions for an ideal to be generated by a regular sequence. In this paper, we provide generally more accessible conditions guaranteeing this property, as well as some examples indicating that our hypotheses cannot be significantly weakened. The key step in our de

Variations on a Haunting Theme

✍ Alan Millard 📂 Fiction 📅 2017 🏛 Andrews UK 🌐 en-GB ⚖ 284 KB 👁 2 views

What begins as a seemingly innocent invitation to dinner from a relative stranger turns into something more sinister. Persuaded to stay for three days in the stranger's isolated house, the guest hears six bizarre stories of people known to the host. The last of these chilling tales concerns the host

Oogenesis: Variations on a theme

✍ Cooley, Lynn 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 556 KB