Lie algebroids arising from simple group schemes
A classical construction of Atiyah assigns to any (real or complex) Lie group G, manifold M and principal homogeneous G-space P over M, a Lie algebroid over M ([1]). The spirit behind our work is to put this work within an algebraic context, replace M by a scheme X and G by a “simple” reductive grou...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00218693_v487_n_p1_Kuttler |
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todo:paper_00218693_v487_n_p1_Kuttler2023-10-03T14:21:35Z Lie algebroids arising from simple group schemes Kuttler, J. Pianzola, A. Quallbrunn, F. Kähler differentials for Lie algebras Lie algebroids Reductive group scheme Scheme on Lie algebras A classical construction of Atiyah assigns to any (real or complex) Lie group G, manifold M and principal homogeneous G-space P over M, a Lie algebroid over M ([1]). The spirit behind our work is to put this work within an algebraic context, replace M by a scheme X and G by a “simple” reductive group scheme G over X (in the sense of Demazure–Grothendieck) that arise naturally with an attached torsor (which plays the role of P) in the study of Extended Affine Lie Algebras (see [9] for an overview). Lie algebroids in an algebraic sense were also considered by Beilinson and Bernstein. We will explain how the present work relates to theirs. © 2017 Elsevier Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v487_n_p1_Kuttler |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Kähler differentials for Lie algebras Lie algebroids Reductive group scheme Scheme on Lie algebras |
| spellingShingle |
Kähler differentials for Lie algebras Lie algebroids Reductive group scheme Scheme on Lie algebras Kuttler, J. Pianzola, A. Quallbrunn, F. Lie algebroids arising from simple group schemes |
| topic_facet |
Kähler differentials for Lie algebras Lie algebroids Reductive group scheme Scheme on Lie algebras |
| description |
A classical construction of Atiyah assigns to any (real or complex) Lie group G, manifold M and principal homogeneous G-space P over M, a Lie algebroid over M ([1]). The spirit behind our work is to put this work within an algebraic context, replace M by a scheme X and G by a “simple” reductive group scheme G over X (in the sense of Demazure–Grothendieck) that arise naturally with an attached torsor (which plays the role of P) in the study of Extended Affine Lie Algebras (see [9] for an overview). Lie algebroids in an algebraic sense were also considered by Beilinson and Bernstein. We will explain how the present work relates to theirs. © 2017 Elsevier Inc. |
| format |
JOUR |
| author |
Kuttler, J. Pianzola, A. Quallbrunn, F. |
| author_facet |
Kuttler, J. Pianzola, A. Quallbrunn, F. |
| author_sort |
Kuttler, J. |
| title |
Lie algebroids arising from simple group schemes |
| title_short |
Lie algebroids arising from simple group schemes |
| title_full |
Lie algebroids arising from simple group schemes |
| title_fullStr |
Lie algebroids arising from simple group schemes |
| title_full_unstemmed |
Lie algebroids arising from simple group schemes |
| title_sort |
lie algebroids arising from simple group schemes |
| url |
http://hdl.handle.net/20.500.12110/paper_00218693_v487_n_p1_Kuttler |
| work_keys_str_mv |
AT kuttlerj liealgebroidsarisingfromsimplegroupschemes AT pianzolaa liealgebroidsarisingfromsimplegroupschemes AT quallbrunnf liealgebroidsarisingfromsimplegroupschemes |
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1782031117709213696 |