Super Lie groups: global topology and local structure
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Publication:3927412
DOI10.1063/1.525001zbMath0473.22013OpenAlexW1982016221WikidataQ115332611 ScholiaQ115332611MaRDI QIDQ3927412
Publication date: 1981
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525001
Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum field theory; related classical field theories (81T99) Graded Lie (super)algebras (17B70) Group structures and generalizations on infinite-dimensional manifolds (58B25)
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Cites Work
