𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A question of Muir and Littlewood’s products

✍ Scribed by Amy M. Fu; Alain Lascoux


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
139 KB
Volume
420
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis


We answer a question of Muir, relating it to different determinantal expressions for the products i<j (yx i x j ) and i j (yx i x j ), and for the products of these functions by an arbitrary Schur function.


📜 SIMILAR VOLUMES


A burning question and a bone's contenti
✍ Calorifer, 📂 Article 📅 1923 🏛 Wiley (John Wiley & Sons) ⚖ 343 KB

## CHEMISTRY AXD INDUSTRY 510 'l'tic hig is not iioticcirblo wlicn osygcii is usccl \* A horrid, uii-ISiigli~h \vord, which a ~olf-rc~~icotiiig I{oyul Sooiot y publictrtioll comiiittuu sliould tlieullow. Ii~nicntcd in coniicsion with t ric invcstigntion. \\.as too nluc.ll pc~rsollal rlliittcr.

A Brauer Algebra Theoretic Proof of Litt
✍ Fabio Gavarini 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 278 KB

Let U be a complex vector space endowed with an orthogonal or symplectic Ž . Ž form, and let G be the subgroup of GL U of all the symmetrics of this form resp. . In this paper we give a new representation-G theoretic proof of this formula: realizing M in a tensor power U m f and using Schur's duali

Representations of the Brauer Algebra an
✍ Fabio Gavarini; Paolo Papi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 304 KB

Let G be either Sp V or O V . Using an action of the Brauer algebra, we k Ž mm . mm describe the subspace T V :V of tensors of valence k as an induced representation of the symmetric group S . As an application, we recover a special m case of Littlewood's restriction rule, affording the decompositio

Burt's twins: A question of numbers
✍ David Burbridge 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB

This article estimates the number of monozygotic twins raised apart (MZA) potentially available to Cyril Burt in his twin studies. It concludes that between 77,000 and 88,000 monozygotic (MZ) twin pairs would have been born and survived to the age of ten in the relevant period in England and Wales,

Generalized Clarkson's Inequalities and
✍ Mikio Kato 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 245 KB

By using the LITTLEWOOD matrices B g n we generalize CLAEKSON'S inequelitiee, or equivalently, we determine the norms IIAzn : Z,2"(Lp) + Zr(Lp)ll completely. The result is compared with the norms IIAp : 1,2" -+ Zrl l , which are calculated implicitly in PIETSOE [el.