๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An Involution of the Variety of Flags Fixed by a Unipotent Linear Transformation

โœ Scribed by J.Matthew Douglass

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
286 KB
Volume
17
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.

โœฆ Synopsis

We define an involution, , of F F , and investigate its properties. It is u known that if u is in Jordan form, then there is a right cell, C C, in S canonically n associated with u, and that C C indexes the irreducible components of F F . In this u paper, the elements in C C are characterized in several ways. These characterizations are used to determine the action of on the set of irreducible components of F F u and to show that is the restriction to C C of an involution of the generic Hecke algebra defined by Mathas. It is also shown that intertwines maps from F F to the u set of standard Young tableaux defined by Spaltenstein and Steinberg. แฎŠ 1996 Academic Press, Inc. ny 1 paper these results will be applied to study the relationship between Springer representations of the symmetric group and the W-graph representations of the generic Hecke algebra of type A .

ny 1

Replacing u by any conjugate does not affect the isomorphism type of the variety F F , so from now on we will assume that u is a matrix in Jordan u

๐Ÿ“œ SIMILAR VOLUMES

An Algebraic Cell Decomposition of the N
An Algebraic Cell Decomposition of the Nonnegative Part of a Flag Variety
โœ Konstanze Rietsch ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 101 KB

We study the nonnegative part B B of the flag variety B B of a reductive G 0 algebraic group, as defined by Lusztig. Using positivity properties of the canonical basis it is shown that B B has an algebraic cell decomposition indexed by pairs of G 0 elements w F wะˆ of the Weyl group. This result was

An Implementation of the Hough Transform
An Implementation of the Hough Transformation for the Identification and Labelling of Fixed Period Sinusoidal Curves
โœ K. Glossop; P.J.G. Lisboa; P.C. Russell; A. Siddans; G.R. Jones ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

Hough transforms have long been used as computationally efficient methods for detecting particular shapes in images. This paper describes a practical implementation of a Hough transform for the characterisation of rock fractures in acoustic borehole images, where planar fractures ideally result in s

Study of the discrete singularly perturb
Study of the discrete singularly perturbed linear-quadratic control problem by a bilinear transformation
โœ Zoran Gajic; Xue-Min Shen ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 330 KB

This paper presents a new approach in the study of the linear quadratic control problem of singularly perturbed discrete systems. By applying a bilinear transformation, the algebraic discrete Riccati equation is converted into a continuous one, which can be solved by using the reduced-order recursiv

Simultaneous construction of a polyether
Simultaneous construction of a polyether backbone and a variety of keto side chains by three-component polycondensation: An improved method for the use of a variety of silyl enol ethers
โœ Tsutomu Yokozawa; Lui Niimi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 204 KB ๐Ÿ‘ 2 views

For the synthesis of polyethers with a variety of keto side chains in a one-step reaction, the three-component polycondensation of dialdehydes, diol disilyl ethers, and silyl enol ethers of ketones was investigated. The method of monomer addition strongly affected the molecular weight of polymers an

Detection of a nuclear, EBNA-type antige
Detection of a nuclear, EBNA-type antigen in apparently EBNA-negative Herpesvirus papio (HVP)-transformed lymphoid lines by the acid-fixed nuclear binding technique
โœ Shinsuke Ohno; Janos Luka; Larry Falk; George Klein ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ French โš– 449 KB

## Abstract In agreement with the findings of previous authors, we could not detect a virally determined nuclear antigen in __Herpesvirus papio__ (HVP)โ€transformed baboon lymphoid lines by anticomplementary staining __in situ__, as for EBNA. However, by means of our recently developed acidโ€fixed nu