Unitary embeddings of finite loop spaces

José Cantarero; Natàlia Castellana

doi:10.1515/forum-2015-0104

Unitary embeddings of finite loop spaces

José Cantarero, Natàlia Castellana

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

© 2017 by De Gruyter. p-local p-compact. In this paper we construct faithful representations of saturated fusion systems over discrete p-toral groups and use them to find conditions that guarantee the existence of unitary embeddings of p-local compact groups. These conditions hold for the Clark-Ewing and Aguadé-Zabrodsky p-compact groups. We also show the existence of unitary embeddings of finite loop spaces.

Original language	English
Pages (from-to)	287-311
Journal	Forum Mathematicum
Volume	29
Issue number	2
DOIs	https://doi.org/10.1515/forum-2015-0104
Publication status	Published - 1 Mar 2017

Keywords

fusion system
p-compact
P-local

Access to Document

10.1515/forum-2015-0104

Cite this

@article{37a454e430e64cffa73150bc1dfa71ef,

title = "Unitary embeddings of finite loop spaces",

abstract = "{\textcopyright} 2017 by De Gruyter. p-local p-compact. In this paper we construct faithful representations of saturated fusion systems over discrete p-toral groups and use them to find conditions that guarantee the existence of unitary embeddings of p-local compact groups. These conditions hold for the Clark-Ewing and Aguad{\'e}-Zabrodsky p-compact groups. We also show the existence of unitary embeddings of finite loop spaces.",

keywords = "fusion system, p-compact, P-local",

author = "Jos{\'e} Cantarero and Nat{\`a}lia Castellana",

year = "2017",

month = mar,

day = "1",

doi = "10.1515/forum-2015-0104",

language = "English",

volume = "29",

pages = "287--311",

journal = "Forum Mathematicum",

issn = "0933-7741",

publisher = "Walter de Gruyter GmbH",

number = "2",

}

TY - JOUR

T1 - Unitary embeddings of finite loop spaces

AU - Cantarero, José

AU - Castellana, Natàlia

PY - 2017/3/1

Y1 - 2017/3/1

N2 - © 2017 by De Gruyter. p-local p-compact. In this paper we construct faithful representations of saturated fusion systems over discrete p-toral groups and use them to find conditions that guarantee the existence of unitary embeddings of p-local compact groups. These conditions hold for the Clark-Ewing and Aguadé-Zabrodsky p-compact groups. We also show the existence of unitary embeddings of finite loop spaces.

AB - © 2017 by De Gruyter. p-local p-compact. In this paper we construct faithful representations of saturated fusion systems over discrete p-toral groups and use them to find conditions that guarantee the existence of unitary embeddings of p-local compact groups. These conditions hold for the Clark-Ewing and Aguadé-Zabrodsky p-compact groups. We also show the existence of unitary embeddings of finite loop spaces.

KW - fusion system

KW - p-compact

KW - P-local

U2 - 10.1515/forum-2015-0104

DO - 10.1515/forum-2015-0104

M3 - Article

VL - 29

SP - 287

EP - 311

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 2

ER -

Unitary embeddings of finite loop spaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this