Almost commutative Q-algebras and derived brackets
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作者:
Bruce, Andrew James
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Univ Luxembourg, Math Res Unit, Maison 6,Ave Fonte, L-4364 Esch Sur Alzette, LuxembourgUniv Luxembourg, Math Res Unit, Maison 6,Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg
Bruce, Andrew James
[1
]
机构:
[1] Univ Luxembourg, Math Res Unit, Maison 6,Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg
We introduce the notion of almost commutative Q -algebras and demonstrate how the derived bracket formalism of Kosmann-Schwarzbach generalises to this setting. In particular, we construct 'almost commutative Lie algebroids' following Vaintrob's Q -manifold understanding of classical Lie algebroids. We show that the basic tenets of the theory of Lie algebroids carry over verbatim to the almost commutative world.
机构:
Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
Queens Univ, Dept Math & Stat, Kingston, ON, CanadaNortheast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
Chen, Yin
Zhang, Runxuan
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Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
机构:
Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, Brazil
Bernardes, Vinicius
Mikhailov, Andrei
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Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, Brazil
Mikhailov, Andrei
Viana, Eggon
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h-index: 0
机构:
Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, Brazil
机构:
Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
Queens Univ, Dept Math & Stat, Kingston, ON, CanadaNortheast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
Chen, Yin
Zhang, Runxuan
论文数: 0引用数: 0
h-index: 0
机构:
Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
机构:
Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, Brazil
Bernardes, Vinicius
Mikhailov, Andrei
论文数: 0引用数: 0
h-index: 0
机构:
Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, Brazil
Mikhailov, Andrei
Viana, Eggon
论文数: 0引用数: 0
h-index: 0
机构:
Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271,Bloco 2 Barra Funda, BR-01140070 Sao Paulo, Brazil