On diagonal entries of Cartan matrices of p-blocks

In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-06
Main Author: Otokita, Yoshihiro
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Otokita, Yoshihiro
description In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2080189601</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2080189601</sourcerecordid><originalsourceid>FETCH-proquest_journals_20801896013</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQw8s9TSMlMTM_PS8xRSM0rKcpMLVbIT1NwTiwqScxTyE0EiiRDhAp0k3Lyk7OLeRhY0xJzilN5oTQ3g7Kba4izh25BUX5haWpxSXxWfmkR0LzieCMDCwNDC0szA0Nj4lQBAKETM0k</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2080189601</pqid></control><display><type>article</type><title>On diagonal entries of Cartan matrices of p-blocks</title><source>Publicly Available Content (ProQuest)</source><creator>Otokita, Yoshihiro</creator><creatorcontrib>Otokita, Yoshihiro</creatorcontrib><description>In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><ispartof>arXiv.org, 2016-06</ispartof><rights>2016. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2080189601?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,37012,44590</link.rule.ids></links><search><creatorcontrib>Otokita, Yoshihiro</creatorcontrib><title>On diagonal entries of Cartan matrices of p-blocks</title><title>arXiv.org</title><description>In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.</description><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQw8s9TSMlMTM_PS8xRSM0rKcpMLVbIT1NwTiwqScxTyE0EiiRDhAp0k3Lyk7OLeRhY0xJzilN5oTQ3g7Kba4izh25BUX5haWpxSXxWfmkR0LzieCMDCwNDC0szA0Nj4lQBAKETM0k</recordid><startdate>20160616</startdate><enddate>20160616</enddate><creator>Otokita, Yoshihiro</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20160616</creationdate><title>On diagonal entries of Cartan matrices of p-blocks</title><author>Otokita, Yoshihiro</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20801896013</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><toplevel>online_resources</toplevel><creatorcontrib>Otokita, Yoshihiro</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Otokita, Yoshihiro</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>On diagonal entries of Cartan matrices of p-blocks</atitle><jtitle>arXiv.org</jtitle><date>2016-06-16</date><risdate>2016</risdate><eissn>2331-8422</eissn><abstract>In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2016-06
issn 2331-8422
language eng
recordid cdi_proquest_journals_2080189601
source Publicly Available Content (ProQuest)
title On diagonal entries of Cartan matrices of p-blocks
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T22%3A27%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=On%20diagonal%20entries%20of%20Cartan%20matrices%20of%20p-blocks&rft.jtitle=arXiv.org&rft.au=Otokita,%20Yoshihiro&rft.date=2016-06-16&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2080189601%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_20801896013%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2080189601&rft_id=info:pmid/&rfr_iscdi=true