✦ LIBER ✦

The Flag Major Index and Group Actions on Polynomial Rings

✍ Scribed by Ron M. Adin; Yuval Roichman

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 154 KB
Volume: 22
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2000.0469

No coin nor oath required. For personal study only.

✦ Synopsis

A new extension of the major index, defined in terms of Coxeter elements, is introduced. For the classical Weyl groups of type B, it is equidistributed with length. For more general wreath products it appears in an explicit formula for the Hilbert series of the (diagonal action) invariant algebra.

📜 SIMILAR VOLUMES

The Module Structure of a Group Action o

The Module Structure of a Group Action on a Polynomial Ring

✍ Dikran B Karagueuzian; Peter Symonds 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 141 KB

For any representation of a p-group G on a vector space of dimension 3 over a finite field k of characteristic p, we show how the symmetric algebra, regarded as a kG-module, can be expressed as a direct sum of kG-modules, each one of which is isomorphic to a summand in low degree. It follows that, f