Crystals, regularisation and the Mullineux map

Fayers Matthew

首页> 外文期刊>Journal of combinatorial algebra >Crystals, regularisation and the Mullineux map

【24h】

Crystals, regularisation and the Mullineux map

机译：晶体、正则化和 Mullineux 映射

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The Mullineux map is a combinatorial function on partitions which describes the effect of tensoring a simple module for the symmetric group in characteristic p with the onedimensional sign representation. It can also be interpreted as a signed isomorphism between crystal graphs for (sl) over cap (p). We give a new combinatorial description of the Mullineux map by expressing this crystal isomorphism as a composition of isomorphisms between different crystals. These isomorphisms are defined in terms of new generalised regularisation maps introduced by Millan Berdasco. We then given two applications of our new realisation of the Mullineux map, by providing purely combinatorial proofs of a conjecture of Lyle relating the Mullineux map with regularisation, and a theorem of Paget describing the Mullineux map in RoCK blocks of symmetric groups.

机译：Mullineux映射是一个组合函数分区描述的效果张量对称组的一个简单的模块与一些特点p的迹象表示。同构晶体图形之间签署(sl) /帽(p),我们给一个新的组合描述Mullineux地图的表达这个水晶同构的成分不同晶体之间的同构。同构的新定义普遍regularisation地图引入的文澜Berdasco。我们的新认识的Mullineux地图,提供纯粹的组合证明猜想有关的莱尔Mullineux映射regularisation,佩吉特的一个定理描述岩石Mullineux映射块对称组。

著录项

来源
《Journal of combinatorial algebra》 |2022年第4期|315-352|共38页
作者
Fayers Matthew;
展开▼
作者单位

Queen Mary Univ London;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类数学;
关键词
Crystal; Mullineux map; partition; regularisation; BRANCHING-RULES; HECKE ALGEBRAS; PROOF;

机译：水晶;Myllinö 地图;分区;正则化;分支规则;赫克代数;证明;

相似文献

外文文献
中文文献
专利

1. Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map [J] . Ni Zhen, Feng-Lian Li, Yue-Sheng Wang, 力学学报：英文版 . 2012,第004期
2. The mullineux map for RoCk blocks [J] . Paget R Communications in algebra . 2006,第9期

机译：The mullineux map for RoCk blocks
3. ChemInform Abstract: Structure of MAP:MNA, the 1:1 Adduct Between (R)‐Methyl 2‐(2,4‐ Dinitroanilino)propanoate (MAP) and 2‐Methyl‐4‐nitroaniline (MNA), a New Nonlinear Optical Crystal [J] . R. M. METZGER, J. L. ATWOOD, W.‐J. LEES. M. RAOR. B. LALB. H. LOO Chem Inform . 1993,第31期

机译：ChemInform Abstract: Structure of MAP:MNA, the 1:1 Adduct Between (R)‐Methyl 2‐(2,4‐ Dinitroanilino)propanoate (MAP) and 2‐Methyl‐4‐nitroaniline (MNA), a New Nonlinear Optical Crystal
4. Structure of MAP:MNA, the 1:1 adduct between (R)‐methyl 2‐(2,4‐dinitroanilino)propanoate (MAP) and 2‐methyl‐4‐nitroaniline (MNA), a new nonlinear optical crystal [J] . R. M. Metzger, J. L. Atwood, W.‐J. LeeS. M. RaoR. B. LalB. H. Loo Acta Crystallographica. Sect.C, Section C. Crystal Structure Communications . 1993,第4期

机译：Structure of MAP:MNA, the 1:1 adduct between (R)‐methyl 2‐(2,4‐dinitroanilino)propanoate (MAP) and 2‐methyl‐4‐nitroaniline (MNA), a new nonlinear optical crystal
5. Image Encryption Using Chaotic 3-D Arnold's Cat Map and Logistic Map [C] . Farhan Musanna, Asha Rani, Sanjeev Kumar International Conference on Computer Vision and Image Processing . 2018

机译：使用Chaotic 3-D Arnold的Cat Map和Logistic Map的图像加密
6. Analyzing, Manipulating and Documentation on Oracle Georaster Objects Using Map Builder and Visualize It on Map Viewer [D] . Indurkhya, Smriti. 2017

机译：使用Map Builder分析，操作和记录Oracle Georaster对象并在Map Viewer上可视化
7. Arabidopsis thaliana MAP65-1 and MAP65-2 function redundantly with MAP65-3/PLEIADE in cytokinesis downstream of MPK4 [O] . Michiko Sasabe, Ken Kosetsu, Mikiko Hidaka, 2011

机译：拟南芥MAP65-1和MAP65-2在MPK4下游的胞质分裂中与MAP65-3 / PLEIADE重复发挥作用
8. Review of Cooking Data: Culture and Politics in and African Research World, by Crystal Biruk (Duke University Press, 2018) [O] . Angela Okune 2020

机译：烹饪数据综述：Crystal Biruk（Duke University Press，2018年Crystal Biruk和非洲研究世界中的文化和政治
9. Handbook for MAP, volume 32. Part 1: MAP summary. Part 2: MAPSC minutes, reading, August 1989. MAP summaries from nations. Part 3: MAP data catalogue [R] . 1991

机译：map手册，第32卷。第1部分：map摘要。第2部分：mapsC会议记录，阅读，1989年8月。来自各国的map摘要。第3部分：map数据目录

Crystals, regularisation and the Mullineux map

摘要

著录项

相似文献

相关主题

期刊订阅