Symmetries and Morphisms

Guerino Mazzola

doi:10.1007/978-3-319-64364-9_8

Symmetries and Morphisms

Guerino Mazzola

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

After having introduced the objects of local theory, their relations are discussed and formalized. Thereby, symmetry is a key concept—however in its modern version which by far exceeds traditional axial or rotational symmetries. The core process of symmetry leads to structure-conserving transformations which we rebuild in the context of local compositions and the underlying forms.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	113-144
Number of pages	32
DOIs	https://doi.org/10.1007/978-3-319-64364-9_8
State	Published - 2017

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG, part of Springer Nature.

Publisher link

10.1007/978-3-319-64364-9_8

Find It

Find It at U of M Libraries

Cite this

@inbook{7e11341a933c41699a71e77a91c7f83c,

title = "Symmetries and Morphisms",

abstract = "After having introduced the objects of local theory, their relations are discussed and formalized. Thereby, symmetry is a key concept—however in its modern version which by far exceeds traditional axial or rotational symmetries. The core process of symmetry leads to structure-conserving transformations which we rebuild in the context of local compositions and the underlying forms.",

author = "Guerino Mazzola",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",

year = "2017",

doi = "10.1007/978-3-319-64364-9_8",

language = "English (US)",

series = "Computational Music Science",

publisher = "Springer Nature",

pages = "113--144",

booktitle = "Computational Music Science",

address = "United States",

}

TY - CHAP

T1 - Symmetries and Morphisms

AU - Mazzola, Guerino

PY - 2017

Y1 - 2017

N2 - After having introduced the objects of local theory, their relations are discussed and formalized. Thereby, symmetry is a key concept—however in its modern version which by far exceeds traditional axial or rotational symmetries. The core process of symmetry leads to structure-conserving transformations which we rebuild in the context of local compositions and the underlying forms.

AB - After having introduced the objects of local theory, their relations are discussed and formalized. Thereby, symmetry is a key concept—however in its modern version which by far exceeds traditional axial or rotational symmetries. The core process of symmetry leads to structure-conserving transformations which we rebuild in the context of local compositions and the underlying forms.

UR - http://www.scopus.com/inward/record.url?scp=85137007676&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85137007676&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-64364-9_8

DO - 10.1007/978-3-319-64364-9_8

M3 - Chapter

AN - SCOPUS:85137007676

T3 - Computational Music Science

SP - 113

EP - 144

BT - Computational Music Science

PB - Springer Nature

ER -

Symmetries and Morphisms

Abstract

Publication series

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this